72402960 has 160 divisors (see below), whose sum is σ = 260554752. Its totient is φ = 16289280.

The previous prime is 72402959. The next prime is 72402973. The reversal of 72402960 is 6920427.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118977 + ... + 119583.

Almost surely, 2^72402960 is an apocalyptic number.

72402960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72402960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130277376).

72402960 is an abundant number, since it is smaller than the sum of its proper divisors (188151792).

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

72402960 is a wasteful number, since it uses less digits than its factorization.

72402960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 72402960 is about 8508.9928898783. The cubic root of 72402960 is about 416.7914236197.

The spelling of 72402960 in words is "seventy-two million, four hundred two thousand, nine hundred sixty".