72425599912512 has 672 divisors, whose sum is σ = 263273977774080. Its totient is φ = 18490229821440.

The previous prime is 72425599912469. The next prime is 72425599912529. The reversal of 72425599912512 is 21521999552427.

72425599912512 is a `hidden beast` number, since 7 + 2 + 4 + 2 + 5 + 599 + 9 + 1 + 25 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 72425599912512.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 781302838 + ... + 781395530.

It is an arithmetic number, because the mean of its divisors is an integer number (391776752640).

Almost surely, 2^{72425599912512} is an apocalyptic number.

72425599912512 is a gapful number since it is divisible by the number (72) 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 72425599912512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131636988887040).

72425599912512 is an abundant number, since it is smaller than the sum of its proper divisors (190848377861568).

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

72425599912512 is a wasteful number, since it uses less digits than its factorization.

72425599912512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93031 (or 93018 counting only the distinct ones).

The product of its digits is 40824000, while the sum is 63.

The spelling of 72425599912512 in words is "seventy-two trillion, four hundred twenty-five billion, five hundred ninety-nine million, nine hundred twelve thousand, five hundred twelve".