72458728796160 has 2496 divisors, whose sum is σ = 326126250777600. Its totient is φ = 15046683918336.

The previous prime is 72458728796141. The next prime is 72458728796219. The reversal of 72458728796160 is 6169782785427.

It is a happy number.

72458728796160 is a `hidden beast` number, since 7 + 2 + 4 + 587 + 28 + 7 + 9 + 6 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17174382531 + ... + 17174386749.

It is an arithmetic number, because the mean of its divisors is an integer number (130659555600).

Almost surely, 2^{72458728796160} is an apocalyptic number.

72458728796160 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 72458728796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163063125388800).

72458728796160 is an abundant number, since it is smaller than the sum of its proper divisors (253667521981440).

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

72458728796160 is a wasteful number, since it uses less digits than its factorization.

72458728796160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4316 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 72458728796160 in words is "seventy-two trillion, four hundred fifty-eight billion, seven hundred twenty-eight million, seven hundred ninety-six thousand, one hundred sixty".