72465804 has 36 divisors (see below), whose sum is σ = 186186000. Its totient is φ = 23758560.

The previous prime is 72465803. The next prime is 72465839. The reversal of 72465804 is 40856427.

72465804 is a `hidden beast` number, since 72 + 4 + 6 + 580 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72465803) 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 11 ways as a sum of consecutive naturals, for example, 14304 + ... + 18695.

Almost surely, 2^72465804 is an apocalyptic number.

It is an amenable number.

72465804 is an abundant number, since it is smaller than the sum of its proper divisors (113720196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72465804 is a wasteful number, since it uses less digits than its factorization.

72465804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33070 (or 33065 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 72465804 is about 8512.6848878600. The cubic root of 72465804 is about 416.9119770042.

The spelling of 72465804 in words is "seventy-two million, four hundred sixty-five thousand, eight hundred four".