72140313960 has 1536 divisors, whose sum is σ = 313841848320. Its totient is φ = 14631321600.

The previous prime is 72140313937. The next prime is 72140313979. The reversal of 72140313960 is 6931304127.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 383 ways as a sum of consecutive naturals, for example, 1016060725 + ... + 1016060795.

It is an arithmetic number, because the mean of its divisors is an integer number (204324120).

Almost surely, 2^72140313960 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 72140313960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156920924160).

72140313960 is an abundant number, since it is smaller than the sum of its proper divisors (241701534360).

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

72140313960 is a wasteful number, since it uses less digits than its factorization.

72140313960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 72140313960 in words is "seventy-two billion, one hundred forty million, three hundred thirteen thousand, nine hundred sixty".