72971370780 has 288 divisors, whose sum is σ = 260884968960. Its totient is φ = 14913676800.

The previous prime is 72971370767. The next prime is 72971370793. The reversal of 72971370780 is 8707317927.

It is an interprime number because it is at equal distance from previous prime (72971370767) and next prime (72971370793).

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 95 ways as a sum of consecutive naturals, for example, 3088251 + ... + 3111789.

Almost surely, 2^72971370780 is an apocalyptic number.

72971370780 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 72971370780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130442484480).

72971370780 is an abundant number, since it is smaller than the sum of its proper divisors (187913598180).

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

72971370780 is a wasteful number, since it uses less digits than its factorization.

72971370780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23641 (or 23628 counting only the distinct ones).

The product of its (nonzero) digits is 1037232, while the sum is 51.

The spelling of 72971370780 in words is "seventy-two billion, nine hundred seventy-one million, three hundred seventy thousand, seven hundred eighty".