72513013248 has 240 divisors, whose sum is σ = 225791485920. Its totient is φ = 22270574592.

The previous prime is 72513013219. The next prime is 72513013267. The reversal of 72513013248 is 84231031527.

72513013248 is a `hidden beast` number, since 7 + 2 + 513 + 0 + 132 + 4 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 55650165 + ... + 55651467.

It is an arithmetic number, because the mean of its divisors is an integer number (940797858).

Almost surely, 2^72513013248 is an apocalyptic number.

72513013248 is a gapful number since it is divisible by the number (78) 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 72513013248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112895742960).

72513013248 is an abundant number, since it is smaller than the sum of its proper divisors (153278472672).

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

72513013248 is a wasteful number, since it uses less digits than its factorization.

72513013248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 72513013248 in words is "seventy-two billion, five hundred thirteen million, thirteen thousand, two hundred forty-eight".