72199804916736 has 1584 divisors, whose sum is σ = 263573955520512. Its totient is φ = 19658225664000.

The previous prime is 72199804916719. The next prime is 72199804916737. The reversal of 72199804916736 is 63761940899127.

72199804916736 is a `hidden beast` number, since 7 + 2 + 19 + 98 + 0 + 491 + 6 + 7 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72199804916737) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25324377711 + ... + 25324380561.

Almost surely, 2^{72199804916736} 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 72199804916736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131786977760256).

72199804916736 is an abundant number, since it is smaller than the sum of its proper divisors (191374150603776).

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

72199804916736 is a wasteful number, since it uses less digits than its factorization.

72199804916736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 72199804916736 in words is "seventy-two trillion, one hundred ninety-nine billion, eight hundred four million, nine hundred sixteen thousand, seven hundred thirty-six".