72190427904 has 576 divisors, whose sum is σ = 252626626560. Its totient is φ = 19906560000.

The previous prime is 72190427899. The next prime is 72190427917. The reversal of 72190427904 is 40972409127.

It is a happy number.

72190427904 is a `hidden beast` number, since 7 + 219 + 0 + 427 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×72190427904² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72190427904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299545224 + ... + 299545464.

Almost surely, 2^72190427904 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 72190427904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126313313280).

72190427904 is an abundant number, since it is smaller than the sum of its proper divisors (180436198656).

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

72190427904 is a wasteful number, since it uses less digits than its factorization.

72190427904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 72190427904 in words is "seventy-two billion, one hundred ninety million, four hundred twenty-seven thousand, nine hundred four".