72479520 has 72 divisors (see below), whose sum is σ = 247341276. Its totient is φ = 19327488.

The previous prime is 72479489. The next prime is 72479527. The reversal of 72479520 is 2597427.

It can be written as a sum of positive squares in 2 ways, for example, as 71978256 + 501264 = 8484^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (72479527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23727 + ... + 26606.

Almost surely, 2^72479520 is an apocalyptic number.

It is an amenable number.

72479520 is an abundant number, since it is smaller than the sum of its proper divisors (174861756).

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

72479520 is a wasteful number, since it uses less digits than its factorization.

72479520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50354 (or 50343 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 72479520 is about 8513.4904710113. The cubic root of 72479520 is about 416.9382790834.

The spelling of 72479520 in words is "seventy-two million, four hundred seventy-nine thousand, five hundred twenty".