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72231408 = 243223113193
BaseRepresentation
bin1000100111000…
…10100111110000
312000220201212100
410103202213300
5121442401113
611100100400
71534646124
oct423424760
9160821770
1072231408
1137855587
1220234700
1311c703a2
149843584
15651bd73
hex44e29f0

72231408 has 120 divisors (see below), whose sum is σ = 213905952. Its totient is φ = 22708224.

The previous prime is 72231403. The next prime is 72231413. The reversal of 72231408 is 80413227.

It is an interprime number because it is at equal distance from previous prime (72231403) and next prime (72231413).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72231403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374160 + ... + 374352.

Almost surely, 272231408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72231408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106952976).

72231408 is an abundant number, since it is smaller than the sum of its proper divisors (141674544).

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

72231408 is a wasteful number, since it uses less digits than its factorization.

72231408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72231408 is about 8498.9062825754. The cubic root of 72231408 is about 416.4619806029.

The spelling of 72231408 in words is "seventy-two million, two hundred thirty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 113 138 144 184 193 207 226 276 339 368 386 414 452 552 579 678 772 828 904 1017 1104 1158 1356 1544 1656 1737 1808 2034 2316 2599 2712 3088 3312 3474 4068 4439 4632 5198 5424 6948 7797 8136 8878 9264 10396 13317 13896 15594 16272 17756 20792 21809 23391 26634 27792 31188 35512 39951 41584 43618 46782 53268 62376 65427 71024 79902 87236 93564 106536 124752 130854 159804 174472 187128 196281 213072 261708 319608 348944 374256 392562 501607 523416 639216 785124 1003214 1046832 1504821 1570248 2006428 3009642 3140496 4012856 4514463 6019284 8025712 9028926 12038568 18057852 24077136 36115704 72231408