72575649 has 32 divisors (see below), whose sum is σ = 118118400. Its totient is φ = 43837200.

The previous prime is 72575627. The next prime is 72575663. The reversal of 72575649 is 94657527.

72575649 is a `hidden beast` number, since 72 + 575 + 6 + 4 + 9 = 666.

It is not a de Polignac number, because 72575649 - 2⁷ = 72575521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72575609) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8724 + ... + 14874.

It is an arithmetic number, because the mean of its divisors is an integer number (3691200).

Almost surely, 2^72575649 is an apocalyptic number.

It is an amenable number.

72575649 is a deficient number, since it is larger than the sum of its proper divisors (45542751).

72575649 is a wasteful number, since it uses less digits than its factorization.

72575649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6202 (or 6196 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 72575649 is about 8519.1342870036. The cubic root of 72575649 is about 417.1225249397.

The spelling of 72575649 in words is "seventy-two million, five hundred seventy-five thousand, six hundred forty-nine".