72935976288 has 144 divisors (see below), whose sum is σ = 226918162800. Its totient is φ = 20445594624.

The previous prime is 72935976263. The next prime is 72935976313. The reversal of 72935976288 is 88267953927.

It is an interprime number because it is at equal distance from previous prime (72935976263) and next prime (72935976313).

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103038 + ... + 395586.

It is an arithmetic number, because the mean of its divisors is an integer number (1575820575).

Almost surely, 2^72935976288 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 72935976288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113459081400).

72935976288 is an abundant number, since it is smaller than the sum of its proper divisors (153982186512).

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

72935976288 is a wasteful number, since it uses less digits than its factorization.

72935976288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292629 (or 292614 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 66.

The spelling of 72935976288 in words is "seventy-two billion, nine hundred thirty-five million, nine hundred seventy-six thousand, two hundred eighty-eight".