72695808000 has 864 divisors, whose sum is σ = 287078042160. Its totient is φ = 17616076800.

The previous prime is 72695807957. The next prime is 72695808011. The reversal of 72695808000 is 80859627.

72695808000 is a `hidden beast` number, since 7 + 2 + 69 + 580 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8074100736 + 64621707264 = 89856^2 + 254208^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2506751986 + ... + 2506752014.

Almost surely, 2^72695808000 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 72695808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143539021080).

72695808000 is an abundant number, since it is smaller than the sum of its proper divisors (214382234160).

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

72695808000 is an equidigital number, since it uses as much as digits as its factorization.

72695808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 72695808000 in words is "seventy-two billion, six hundred ninety-five million, eight hundred eight thousand".