72624897 has 24 divisors (see below), whose sum is σ = 113568480. Its totient is φ = 45862200.

The previous prime is 72624887. The next prime is 72624911. The reversal of 72624897 is 79842627.

It is not a de Polignac number, because 72624897 - 2¹⁵ = 72592129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72624887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6022 + ... + 13472.

It is an arithmetic number, because the mean of its divisors is an integer number (4732020).

Almost surely, 2^72624897 is an apocalyptic number.

It is an amenable number.

72624897 is a deficient number, since it is larger than the sum of its proper divisors (40943583).

72624897 is a wasteful number, since it uses less digits than its factorization.

72624897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7498 (or 7473 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 72624897 is about 8522.0242313666. The cubic root of 72624897 is about 417.2168532055.

The spelling of 72624897 in words is "seventy-two million, six hundred twenty-four thousand, eight hundred ninety-seven".