72719954496 has 672 divisors, whose sum is σ = 263272584960. Its totient is φ = 19830666240.

The previous prime is 72719954479. The next prime is 72719954537. The reversal of 72719954496 is 69445991727.

72719954496 is a `hidden beast` number, since 7 + 2 + 7 + 1 + 99 + 54 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×72719954496² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157743706 + ... + 157744166.

It is an arithmetic number, because the mean of its divisors is an integer number (391774680).

Almost surely, 2^72719954496 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 72719954496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131636292480).

72719954496 is an abundant number, since it is smaller than the sum of its proper divisors (190552630464).

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

72719954496 is an equidigital number, since it uses as much as digits as its factorization.

72719954496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 496 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 72719954496 in words is "seventy-two billion, seven hundred nineteen million, nine hundred fifty-four thousand, four hundred ninety-six".