72195972300 has 720 divisors, whose sum is σ = 258280656480. Its totient is φ = 17371791360.

The previous prime is 72195972263. The next prime is 72195972301. The reversal of 72195972300 is 327959127.

72195972300 is a `hidden beast` number, since 7 + 21 + 9 + 597 + 2 + 30 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72195972301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 526977832 + ... + 526977968.

It is an arithmetic number, because the mean of its divisors is an integer number (358723134).

Almost surely, 2^72195972300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72195972300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129140328240).

72195972300 is an abundant number, since it is smaller than the sum of its proper divisors (186084684180).

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

72195972300 is a wasteful number, since it uses less digits than its factorization.

72195972300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 72195972300 in words is "seventy-two billion, one hundred ninety-five million, nine hundred seventy-two thousand, three hundred".