72519239520 has 1728 divisors, whose sum is σ = 340182037440. Its totient is φ = 14296891392.

The previous prime is 72519239497. The next prime is 72519239531. The reversal of 72519239520 is 2593291527.

72519239520 is a `hidden beast` number, since 7 + 2 + 5 + 1 + 92 + 39 + 520 = 666.

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 287 ways as a sum of consecutive naturals, for example, 993414204 + ... + 993414276.

It is an arithmetic number, because the mean of its divisors is an integer number (196864605).

Almost surely, 2^72519239520 is an apocalyptic number.

72519239520 is a gapful number since it is divisible by the number (70) 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 72519239520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170091018720).

72519239520 is an abundant number, since it is smaller than the sum of its proper divisors (267662797920).

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

72519239520 is a wasteful number, since it uses less digits than its factorization.

72519239520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 72519239520 in words is "seventy-two billion, five hundred nineteen million, two hundred thirty-nine thousand, five hundred twenty".