72952600257121 has 16 divisors (see below), whose sum is σ = 79315150622400. Its totient is φ = 66697571683008.

The previous prime is 72952600257107. The next prime is 72952600257157. The reversal of 72952600257121 is 12175200625927.

It is a cyclic number.

It is not a de Polignac number, because 72952600257121 - 2⁷ = 72952600256993 is a prime.

It is a super-2 number, since 2×72952600257121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72952600257101) 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, 1185810 + ... + 12137188.

It is an arithmetic number, because the mean of its divisors is an integer number (4957196913900).

Almost surely, 2^{72952600257121} is an apocalyptic number.

It is an amenable number.

72952600257121 is a deficient number, since it is larger than the sum of its proper divisors (6362550365279).

72952600257121 is a wasteful number, since it uses less digits than its factorization.

72952600257121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10956288.

The product of its (nonzero) digits is 1058400, while the sum is 49.

The spelling of 72952600257121 in words is "seventy-two trillion, nine hundred fifty-two billion, six hundred million, two hundred fifty-seven thousand, one hundred twenty-one".