72974099092080 has 320 divisors, whose sum is σ = 239888934125568. Its totient is φ = 18287395061760.

The previous prime is 72974099092033. The next prime is 72974099092117. The reversal of 72974099092080 is 8029099047927.

It is a super-2 number, since 2×72974099092080² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11105475195 + ... + 11105481765.

Almost surely, 2^{72974099092080} 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 72974099092080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119944467062784).

72974099092080 is an abundant number, since it is smaller than the sum of its proper divisors (166914835033488).

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

72974099092080 is a wasteful number, since it uses less digits than its factorization.

72974099092080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10304 (or 10298 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 66.

The spelling of 72974099092080 in words is "seventy-two trillion, nine hundred seventy-four billion, ninety-nine million, ninety-two thousand, eighty".