72652827 has 16 divisors (see below), whose sum is σ = 109813760. Its totient is φ = 42355872.

The previous prime is 72652807. The next prime is 72652841. The reversal of 72652827 is 72825627.

It is not a de Polignac number, because 72652827 - 2¹⁵ = 72620059 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72652807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48283 + ... + 49764.

It is an arithmetic number, because the mean of its divisors is an integer number (6863360).

Almost surely, 2^72652827 is an apocalyptic number.

72652827 is a deficient number, since it is larger than the sum of its proper divisors (37160933).

72652827 is a wasteful number, since it uses less digits than its factorization.

72652827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98082.

The product of its digits is 94080, while the sum is 39.

The square root of 72652827 is about 8523.6627690213. The cubic root of 72652827 is about 417.2703306110.

The spelling of 72652827 in words is "seventy-two million, six hundred fifty-two thousand, eight hundred twenty-seven".