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72700368 = 24313116507
BaseRepresentation
bin1000101010101…
…01000111010000
312001210120011020
410111111013100
5122102402433
611114115440
71541641266
oct425250720
9161716136
1072700368
1138045954
122041bb80
13120a5990
149926436
1565b0cb3
hex45551d0

72700368 has 40 divisors (see below), whose sum is σ = 202257888. Its totient is φ = 22369152.

The previous prime is 72700367. The next prime is 72700373. The reversal of 72700368 is 86300727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72700367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57630 + ... + 58877.

Almost surely, 272700368 is an apocalyptic number.

72700368 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

72700368 is an abundant number, since it is smaller than the sum of its proper divisors (129557520).

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

72700368 is a wasteful number, since it uses less digits than its factorization.

72700368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116531 (or 116525 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 72700368 is about 8526.4510788487. The cubic root of 72700368 is about 417.3613255718.

The spelling of 72700368 in words is "seventy-two million, seven hundred thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 116507 233014 349521 466028 699042 932056 1398084 1514591 1864112 2796168 3029182 4543773 5592336 6058364 9087546 12116728 18175092 24233456 36350184 72700368