72257013 has 6 divisors (see below), whose sum is σ = 104371254. Its totient is φ = 48171336.

The previous prime is 72257011. The next prime is 72257027. The reversal of 72257013 is 31075227.

It can be written as a sum of positive squares in only one way, i.e., 71520849 + 736164 = 8457^2 + 858^2 .

It is not a de Polignac number, because 72257013 - 2¹ = 72257011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72257011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4014270 + ... + 4014287.

It is an arithmetic number, because the mean of its divisors is an integer number (17395209).

Almost surely, 2^72257013 is an apocalyptic number.

It is an amenable number.

72257013 is a deficient number, since it is larger than the sum of its proper divisors (32114241).

72257013 is a wasteful number, since it uses less digits than its factorization.

72257013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8028563 (or 8028560 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 72257013 is about 8500.4125194016. The cubic root of 72257013 is about 416.5111847259.

The spelling of 72257013 in words is "seventy-two million, two hundred fifty-seven thousand, thirteen".