72536013 has 32 divisors (see below), whose sum is σ = 117780480. Its totient is φ = 43755120.

The previous prime is 72535973. The next prime is 72536017. The reversal of 72536013 is 31063527.

It is a happy number.

72536013 is a `hidden beast` number, since 7 + 2 + 53 + 601 + 3 = 666.

It is not a de Polignac number, because 72536013 - 2¹³ = 72527821 is a prime.

It is a super-2 number, since 2×72536013² = 10522946363872338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72536017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83620 + ... + 84482.

It is an arithmetic number, because the mean of its divisors is an integer number (3680640).

Almost surely, 2^72536013 is an apocalyptic number.

It is an amenable number.

72536013 is a deficient number, since it is larger than the sum of its proper divisors (45244467).

72536013 is a wasteful number, since it uses less digits than its factorization.

72536013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 72536013 is about 8516.8076765887. The cubic root of 72536013 is about 417.0465762374.

The spelling of 72536013 in words is "seventy-two million, five hundred thirty-six thousand, thirteen".