72519874560 has 1152 divisors, whose sum is σ = 308555956800. Its totient is φ = 16102195200.

The previous prime is 72519874543. The next prime is 72519874561. The reversal of 72519874560 is 6547891527.

72519874560 is a `hidden beast` number, since 7 + 2 + 5 + 1 + 9 + 8 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 72519874497 and 72519874506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72519874561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 718018510 + ... + 718018610.

Almost surely, 2^72519874560 is an apocalyptic number.

72519874560 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 72519874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154277978400).

72519874560 is an abundant number, since it is smaller than the sum of its proper divisors (236036082240).

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

72519874560 is a wasteful number, since it uses less digits than its factorization.

72519874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 72519874560 in words is "seventy-two billion, five hundred nineteen million, eight hundred seventy-four thousand, five hundred sixty".