72479825 has 24 divisors (see below), whose sum is σ = 98431200. Its totient is φ = 52505600.

The previous prime is 72479819. The next prime is 72479839. The reversal of 72479825 is 52897427.

72479825 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 72479825 - 2⁴ = 72479809 is a prime.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123182 + ... + 123768.

It is an arithmetic number, because the mean of its divisors is an integer number (4101300).

Almost surely, 2^72479825 is an apocalyptic number.

It is an amenable number.

72479825 is a deficient number, since it is larger than the sum of its proper divisors (25951375).

72479825 is a wasteful number, since it uses less digits than its factorization.

72479825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1052 counting only the distinct ones).

The product of its digits is 282240, while the sum is 44.

The square root of 72479825 is about 8513.5083837393. The cubic root of 72479825 is about 416.9388639198.

The spelling of 72479825 in words is "seventy-two million, four hundred seventy-nine thousand, eight hundred twenty-five".