72570013 has 8 divisors (see below), whose sum is σ = 73143000. Its totient is φ = 71999808.

The previous prime is 72570011. The next prime is 72570067. The reversal of 72570013 is 31007527.

It can be written as a sum of positive squares in 4 ways, for example, as 13689 + 72556324 = 117^2 + 8518^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72570013 - 2¹ = 72570011 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72570013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72570011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93495 + ... + 94267.

It is an arithmetic number, because the mean of its divisors is an integer number (9142875).

Almost surely, 2^72570013 is an apocalyptic number.

It is an amenable number.

72570013 is a deficient number, since it is larger than the sum of its proper divisors (572987).

72570013 is a wasteful number, since it uses less digits than its factorization.

72570013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391.

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 72570013 is about 8518.8034957968. The cubic root of 72570013 is about 417.1117271793. Note that the first 3 decimals are identical.

The spelling of 72570013 in words is "seventy-two million, five hundred seventy thousand, thirteen".