72540990720 has 1152 divisors, whose sum is σ = 301635532800. Its totient is φ = 16459407360.

The previous prime is 72540990713. The next prime is 72540990757. The reversal of 72540990720 is 2709904527.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×72540990720² (a number of 23 digits) contains 22 as substring.

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, 873987799 + ... + 873987881.

It is an arithmetic number, because the mean of its divisors is an integer number (261836400).

Almost surely, 2^72540990720 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 72540990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150817766400).

72540990720 is an abundant number, since it is smaller than the sum of its proper divisors (229094542080).

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

72540990720 is a wasteful number, since it uses less digits than its factorization.

72540990720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 72540990720 in words is "seventy-two billion, five hundred forty million, nine hundred ninety thousand, seven hundred twenty".