72480080977920 has 4032 divisors, whose sum is σ = 338192932147200. Its totient is φ = 14219476992000.

The previous prime is 72480080977903. The next prime is 72480080977939. The reversal of 72480080977920 is 2977908008427.

72480080977920 is a `hidden beast` number, since 7 + 2 + 480 + 0 + 80 + 9 + 7 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1767806853100 + ... + 1767806853140.

Almost surely, 2^{72480080977920} is an apocalyptic number.

72480080977920 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 72480080977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169096466073600).

72480080977920 is an abundant number, since it is smaller than the sum of its proper divisors (265712851169280).

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

72480080977920 is a wasteful number, since it uses less digits than its factorization.

72480080977920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 72480080977920 in words is "seventy-two trillion, four hundred eighty billion, eighty million, nine hundred seventy-seven thousand, nine hundred twenty".