72411708336 has 160 divisors (see below), whose sum is σ = 217837486080. Its totient is φ = 20495059200.

The previous prime is 72411708323. The next prime is 72411708353. The reversal of 72411708336 is 63380711427.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 661441 + ... + 763103.

It is an arithmetic number, because the mean of its divisors is an integer number (1361484288).

Almost surely, 2^72411708336 is an apocalyptic number.

72411708336 is a gapful number since it is divisible by the number (76) 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 72411708336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108918743040).

72411708336 is an abundant number, since it is smaller than the sum of its proper divisors (145425777744).

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

72411708336 is a wasteful number, since it uses less digits than its factorization.

72411708336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101775 (or 101769 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 72411708336 in words is "seventy-two billion, four hundred eleven million, seven hundred eight thousand, three hundred thirty-six".