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71225376 = 25317192297
BaseRepresentation
bin1000011111011…
…01000000100000
311222000121211220
410033231000200
5121213203001
611022335040
71523256105
oct417550040
9158017756
1071225376
1137228752
121ba2a480
13119aa4c1
149660aac
1563bdc36
hex43ed020

71225376 has 96 divisors (see below), whose sum is σ = 208474560. Its totient is φ = 21159936.

The previous prime is 71225327. The next prime is 71225377. The reversal of 71225376 is 67352217.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (71225377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29860 + ... + 32156.

It is an arithmetic number, because the mean of its divisors is an integer number (2171610).

Almost surely, 271225376 is an apocalyptic number.

71225376 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

71225376 is the 6891-st pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71225376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104237280).

71225376 is an abundant number, since it is smaller than the sum of its proper divisors (137249184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71225376 is a wasteful number, since it uses less digits than its factorization.

71225376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2338 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 71225376 is about 8439.5127821457. The cubic root of 71225376 is about 414.5194534463.

The spelling of 71225376 in words is "seventy-one million, two hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 68 76 96 102 114 136 152 204 228 272 304 323 408 456 544 608 646 816 912 969 1292 1632 1824 1938 2297 2584 3876 4594 5168 6891 7752 9188 10336 13782 15504 18376 27564 31008 36752 39049 43643 55128 73504 78098 87286 110256 117147 130929 156196 174572 220512 234294 261858 312392 349144 468588 523716 624784 698288 741931 937176 1047432 1249568 1396576 1483862 1874352 2094864 2225793 2967724 3748704 4189728 4451586 5935448 8903172 11870896 17806344 23741792 35612688 71225376