72412057713311 has 16 divisors (see below), whose sum is σ = 73212314393088. Its totient is φ = 71613690448800.

The previous prime is 72412057713293. The next prime is 72412057713341. The reversal of 72412057713311 is 11331775021427.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72412057713311 is a prime.

It is a super-2 number, since 2×72412057713311² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72412057713341) 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, 846179156 + ... + 846264726.

It is an arithmetic number, because the mean of its divisors is an integer number (4575769649568).

Almost surely, 2^{72412057713311} is an apocalyptic number.

72412057713311 is a deficient number, since it is larger than the sum of its proper divisors (800256679777).

72412057713311 is a wasteful number, since it uses less digits than its factorization.

72412057713311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96502.

The product of its (nonzero) digits is 246960, while the sum is 44.

The spelling of 72412057713311 in words is "seventy-two trillion, four hundred twelve billion, fifty-seven million, seven hundred thirteen thousand, three hundred eleven".