72819022500 has 405 divisors, whose sum is σ = 268612773429. Its totient is φ = 16579584000.

The previous prime is 72819022433. The next prime is 72819022519. The reversal of 72819022500 is 522091827.

The square root of 72819022500 is 269850.

It is a perfect power (a square), and thus also a powerful number.

72819022500 is a `hidden beast` number, since 72 + 81 + 9 + 0 + 2 + 2 + 500 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 11497415076 + 61321607424 = 107226^2 + 247632^2 .

It is a super-2 number, since 2×72819022500² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 283342372 + ... + 283342628.

Almost surely, 2^72819022500 is an apocalyptic number.

72819022500 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72819022500 is the 269850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72819022500

72819022500 is an abundant number, since it is smaller than the sum of its proper divisors (195793750929).

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

72819022500 is a wasteful number, since it uses less digits than its factorization.

72819022500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 72819022500 by its sum of digits (36), we get a square (2621484810000 = 1619100²).

72819022500 divided by its sum of digits (36) gives a square (2022750625 = 44975²).

The spelling of 72819022500 in words is "seventy-two billion, eight hundred nineteen million, twenty-two thousand, five hundred".