72540412567301 has 16 divisors (see below), whose sum is σ = 86508593488128. Its totient is φ = 59473596124800.

The previous prime is 72540412567297. The next prime is 72540412567303. The reversal of 72540412567301 is 10376521404527.

It is a cyclic number.

It is not a de Polignac number, because 72540412567301 - 2² = 72540412567297 is a prime.

It is a super-2 number, since 2×72540412567301² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72540412567303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16613171 + ... + 20520191.

It is an arithmetic number, because the mean of its divisors is an integer number (5406787093008).

Almost surely, 2^{72540412567301} is an apocalyptic number.

It is an amenable number.

72540412567301 is a deficient number, since it is larger than the sum of its proper divisors (13968180920827).

72540412567301 is a wasteful number, since it uses less digits than its factorization.

72540412567301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022372.

The product of its (nonzero) digits is 1411200, while the sum is 47.

The spelling of 72540412567301 in words is "seventy-two trillion, five hundred forty billion, four hundred twelve million, five hundred sixty-seven thousand, three hundred one".