72942115680 has 768 divisors, whose sum is σ = 311205888000. Its totient is φ = 15585343488.

The previous prime is 72942115669. The next prime is 72942115703. The reversal of 72942115680 is 8651124927.

72942115680 is a `hidden beast` number, since 72 + 9 + 4 + 2 + 11 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45389437 + ... + 45391043.

It is an arithmetic number, because the mean of its divisors is an integer number (405216000).

Almost surely, 2^72942115680 is an apocalyptic number.

72942115680 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 72942115680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155602944000).

72942115680 is an abundant number, since it is smaller than the sum of its proper divisors (238263772320).

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

72942115680 is a wasteful number, since it uses less digits than its factorization.

72942115680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 72942115680 in words is "seventy-two billion, nine hundred forty-two million, one hundred fifteen thousand, six hundred eighty".