72376967520 has 864 divisors, whose sum is σ = 307331781120. Its totient is φ = 15333027840.

The previous prime is 72376967503. The next prime is 72376967561. The reversal of 72376967520 is 2576967327.

72376967520 is a `hidden beast` number, since 7 + 23 + 7 + 6 + 96 + 7 + 520 = 666.

It is a super-2 number, since 2×72376967520² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50861529 + ... + 50862951.

It is an arithmetic number, because the mean of its divisors is an integer number (355708080).

Almost surely, 2^72376967520 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 72376967520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153665890560).

72376967520 is an abundant number, since it is smaller than the sum of its proper divisors (234954813600).

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

72376967520 is a wasteful number, since it uses less digits than its factorization.

72376967520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 72376967520 in words is "seventy-two billion, three hundred seventy-six million, nine hundred sixty-seven thousand, five hundred twenty".