72514799280 has 1920 divisors, whose sum is σ = 342955192320. Its totient is φ = 13284311040.

The previous prime is 72514799207. The next prime is 72514799297. The reversal of 72514799280 is 8299741527.

72514799280 is a `hidden beast` number, since 7 + 2 + 5 + 1 + 479 + 92 + 80 = 666.

It is a super-2 number, since 2×72514799280² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1368203734 + ... + 1368203786.

It is an arithmetic number, because the mean of its divisors is an integer number (178622496).

Almost surely, 2^72514799280 is an apocalyptic number.

72514799280 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 72514799280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171477596160).

72514799280 is an abundant number, since it is smaller than the sum of its proper divisors (270440393040).

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

72514799280 is a wasteful number, since it uses less digits than its factorization.

72514799280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 72514799280 in words is "seventy-two billion, five hundred fourteen million, seven hundred ninety-nine thousand, two hundred eighty".