72612151920 has 960 divisors, whose sum is σ = 318219632640. Its totient is φ = 14948582400.

The previous prime is 72612151907. The next prime is 72612151943. The reversal of 72612151920 is 2915121627.

72612151920 is a `hidden beast` number, since 7 + 2 + 612 + 1 + 5 + 19 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 267941385 + ... + 267941655.

It is an arithmetic number, because the mean of its divisors is an integer number (331478784).

Almost surely, 2^72612151920 is an apocalyptic number.

72612151920 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 72612151920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159109816320).

72612151920 is an abundant number, since it is smaller than the sum of its proper divisors (245607480720).

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

72612151920 is a wasteful number, since it uses less digits than its factorization.

72612151920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 72612151920 in words is "seventy-two billion, six hundred twelve million, one hundred fifty-one thousand, nine hundred twenty".