72567601413 has 16 divisors (see below), whose sum is σ = 96886707456. Its totient is φ = 48313494720.

The previous prime is 72567601409. The next prime is 72567601441. The reversal of 72567601413 is 31410676527.

It is a happy number.

It is not a de Polignac number, because 72567601413 - 2² = 72567601409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72567651413) 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, 9143595 + ... + 9151527.

It is an arithmetic number, because the mean of its divisors is an integer number (6055419216).

Almost surely, 2^72567601413 is an apocalyptic number.

It is an amenable number.

72567601413 is a deficient number, since it is larger than the sum of its proper divisors (24319106043).

72567601413 is a wasteful number, since it uses less digits than its factorization.

72567601413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11644.

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 72567601413 in words is "seventy-two billion, five hundred sixty-seven million, six hundred one thousand, four hundred thirteen".