72624393 has 6 divisors (see below), whose sum is σ = 104901914. Its totient is φ = 48416256.

The previous prime is 72624371. The next prime is 72624421. The reversal of 72624393 is 39342627.

It is a happy number.

72624393 is a `hidden beast` number, since 7 + 262 + 4 + 393 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46949904 + 25674489 = 6852^2 + 5067^2 .

It is not a de Polignac number, because 72624393 - 2⁵ = 72624361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72624313) 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, 4034680 + ... + 4034697.

Almost surely, 2^72624393 is an apocalyptic number.

It is an amenable number.

72624393 is a deficient number, since it is larger than the sum of its proper divisors (32277521).

72624393 is a wasteful number, since it uses less digits than its factorization.

72624393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8069383 (or 8069380 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 72624393 is about 8521.9946608761. The cubic root of 72624393 is about 417.2158880737.

It can be divided in two parts, 7 and 2624393, that added together give a square (2624400 = 1620²).

The spelling of 72624393 in words is "seventy-two million, six hundred twenty-four thousand, three hundred ninety-three".