72132480 has 192 divisors, whose sum is σ = 284824800. Its totient is φ = 16478208.

The previous prime is 72132469. The next prime is 72132497. The reversal of 72132480 is 8423127.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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, 39426 + ... + 41214.

Almost surely, 2^72132480 is an apocalyptic number.

72132480 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 72132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142412400).

72132480 is an abundant number, since it is smaller than the sum of its proper divisors (212692320).

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

72132480 is a wasteful number, since it uses less digits than its factorization.

72132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72132480 is about 8493.0842454317. The cubic root of 72132480 is about 416.2717652229.

The spelling of 72132480 in words is "seventy-two million, one hundred thirty-two thousand, four hundred eighty".