72605013 has 16 divisors (see below), whose sum is σ = 104682816. Its totient is φ = 44496000.

The previous prime is 72604991. The next prime is 72605017. The reversal of 72605013 is 31050627.

It is not a de Polignac number, because 72605013 - 2⁵ = 72604981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72605017) 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, 6081 + ... + 13497.

It is an arithmetic number, because the mean of its divisors is an integer number (6542676).

Almost surely, 2^72605013 is an apocalyptic number.

It is an amenable number.

72605013 is a deficient number, since it is larger than the sum of its proper divisors (32077803).

72605013 is a wasteful number, since it uses less digits than its factorization.

72605013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7684.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 72605013 is about 8520.8575272680. The cubic root of 72605013 is about 417.1787730728.

The spelling of 72605013 in words is "seventy-two million, six hundred five thousand, thirteen".