72512811 has 24 divisors (see below), whose sum is σ = 119939040. Its totient is φ = 41354496.

The previous prime is 72512773. The next prime is 72512819. The reversal of 72512811 is 11821527.

72512811 is a `hidden beast` number, since 72 + 512 + 81 + 1 = 666.

It is not a de Polignac number, because 72512811 - 2⁶ = 72512747 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72512819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47955 + ... + 49443.

It is an arithmetic number, because the mean of its divisors is an integer number (4997460).

Almost surely, 2^72512811 is an apocalyptic number.

72512811 is a deficient number, since it is larger than the sum of its proper divisors (47426229).

72512811 is a wasteful number, since it uses less digits than its factorization.

72512811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2272 counting only the distinct ones).

The product of its digits is 1120, while the sum is 27.

The square root of 72512811 is about 8515.4454375564. The cubic root of 72512811 is about 417.0021047804.

The spelling of 72512811 in words is "seventy-two million, five hundred twelve thousand, eight hundred eleven".