72800161551360 has 220 divisors, whose sum is σ = 260874619746708. Its totient is φ = 19413376303104.

The previous prime is 72800161551319. The next prime is 72800161551413. The reversal of 72800161551360 is 6315516100827.

72800161551360 is a `hidden beast` number, since 7 + 2 + 8 + 0 + 0 + 1 + 61 + 551 + 36 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19047568379904 + 53752593171456 = 4364352^2 + 7331616^2 .

It is a super-2 number, since 2×72800161551360² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87355537 + ... + 88184976.

Almost surely, 2^{72800161551360} is an apocalyptic number.

It is an amenable number.

72800161551360 is an abundant number, since it is smaller than the sum of its proper divisors (188074458195348).

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

72800161551360 is a wasteful number, since it uses less digits than its factorization.

72800161551360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175540550 (or 175540523 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 72800161551360 in words is "seventy-two trillion, eight hundred billion, one hundred sixty-one million, five hundred fifty-one thousand, three hundred sixty".