72636257 has 16 divisors (see below), whose sum is σ = 78926400. Its totient is φ = 66593280.

The previous prime is 72636247. The next prime is 72636269. The reversal of 72636257 is 75263627.

It is a cyclic number.

It is not a de Polignac number, because 72636257 - 2¹⁴ = 72619873 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 72636257.

It is not an unprimeable number, because it can be changed into a prime (72636247) 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, 139157 + ... + 139677.

It is an arithmetic number, because the mean of its divisors is an integer number (4932900).

Almost surely, 2^72636257 is an apocalyptic number.

It is an amenable number.

72636257 is a deficient number, since it is larger than the sum of its proper divisors (6290143).

72636257 is a wasteful number, since it uses less digits than its factorization.

72636257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736.

The product of its digits is 105840, while the sum is 38.

The square root of 72636257 is about 8522.6907136186. The cubic root of 72636257 is about 417.2386057841.

The spelling of 72636257 in words is "seventy-two million, six hundred thirty-six thousand, two hundred fifty-seven".