72413530428996 has 81 divisors (see below), whose sum is σ = 187406859620799. Its totient is φ = 23575783471632.

The previous prime is 72413530428923. The next prime is 72413530429003. The reversal of 72413530428996 is 69982403531427.

The square root of 72413530428996 is 8509614.

It is a perfect power (a square), and thus also a powerful number.

72413530428996 is a `hidden beast` number, since 7 + 2 + 4 + 1 + 3 + 530 + 4 + 2 + 8 + 9 + 96 = 666.

It is a super-2 number, since 2×72413530428996² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2195463921 + ... + 2195496903.

It is a 1-persistent number, because it is pandigital, but 2⋅72413530428996 = 144827060857992 is not.

Almost surely, 2^{72413530428996} is an apocalyptic number.

72413530428996 is the 8509614-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72413530428996

72413530428996 is an abundant number, since it is smaller than the sum of its proper divisors (114993329191803).

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

72413530428996 is an frugal number, since it uses more digits than its factorization.

72413530428996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66062 (or 33031 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 72413530428996 in words is "seventy-two trillion, four hundred thirteen billion, five hundred thirty million, four hundred twenty-eight thousand, nine hundred ninety-six".