72479880 has 128 divisors (see below), whose sum is σ = 263606400. Its totient is φ = 17568000.

The previous prime is 72479879. The next prime is 72479899. The reversal of 72479880 is 8897427.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8830 + ... + 14930.

It is an arithmetic number, because the mean of its divisors is an integer number (2059425).

Almost surely, 2^72479880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72479880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131803200).

72479880 is an abundant number, since it is smaller than the sum of its proper divisors (191126520).

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

72479880 is a wasteful number, since it uses less digits than its factorization.

72479880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6132 (or 6122 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 72479880 is about 8513.5116138994. The cubic root of 72479880 is about 416.9389693820.

The spelling of 72479880 in words is "seventy-two million, four hundred seventy-nine thousand, eight hundred eighty".