72971502270480 has 1600 divisors, whose sum is σ = 298312975319040. Its totient is φ = 16347366604800.

The previous prime is 72971502270413. The next prime is 72971502270539. The reversal of 72971502270480 is 8407220517927.

72971502270480 is a `hidden beast` number, since 7 + 2 + 9 + 7 + 150 + 2 + 2 + 7 + 0 + 480 = 666.

It is a super-2 number, since 2×72971502270480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 51280043049 + ... + 51280044471.

Almost surely, 2^{72971502270480} 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 72971502270480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149156487659520).

72971502270480 is an abundant number, since it is smaller than the sum of its proper divisors (225341473048560).

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

72971502270480 is a wasteful number, since it uses less digits than its factorization.

72971502270480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 72971502270480 in words is "seventy-two trillion, nine hundred seventy-one billion, five hundred two million, two hundred seventy thousand, four hundred eighty".