72541070131153 has 16 divisors (see below), whose sum is σ = 78172636416336. Its totient is φ = 66916864143360.

The previous prime is 72541070131097. The next prime is 72541070131171. The reversal of 72541070131153 is 35113107014527.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 891481537489 + 71649588593664 = 944183^2 + 8464608^2 .

It is a cyclic number.

It is not a de Polignac number, because 72541070131153 - 2¹⁷ = 72541070000081 is a prime.

It is a super-2 number, since 2×72541070131153² (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 (72541070131853) 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, 346250913 + ... + 346460353.

It is an arithmetic number, because the mean of its divisors is an integer number (4885789776021).

Almost surely, 2^{72541070131153} is an apocalyptic number.

It is an amenable number.

72541070131153 is a deficient number, since it is larger than the sum of its proper divisors (5631566285183).

72541070131153 is a wasteful number, since it uses less digits than its factorization.

72541070131153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226884.

The product of its (nonzero) digits is 88200, while the sum is 40.

The spelling of 72541070131153 in words is "seventy-two trillion, five hundred forty-one billion, seventy million, one hundred thirty-one thousand, one hundred fifty-three".