72199680000 has 1040 divisors, whose sum is σ = 294781639680. Its totient is φ = 15335424000.

The previous prime is 72199679977. The next prime is 72199680041. The reversal of 72199680000 is 8699127.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 913919961 + ... + 913920039.

Almost surely, 2^72199680000 is an apocalyptic number.

72199680000 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 72199680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147390819840).

72199680000 is an abundant number, since it is smaller than the sum of its proper divisors (222581959680).

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

72199680000 is an equidigital number, since it uses as much as digits as its factorization.

72199680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 72199680000 in words is "seventy-two billion, one hundred ninety-nine million, six hundred eighty thousand".