72000433815700 has 72 divisors (see below), whose sum is σ = 168261446590328. Its totient is φ = 26584464107520.

The previous prime is 72000433815683. The next prime is 72000433815719. The reversal of 72000433815700 is 751833400027.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 69998723842576 + 2001709973124 = 8366524^2 + 1414818^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131173024 + ... + 131720776.

Almost surely, 2^{72000433815700} is an apocalyptic number.

It is an amenable number.

72000433815700 is an abundant number, since it is smaller than the sum of its proper divisors (96261012774628).

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

72000433815700 is a wasteful number, since it uses less digits than its factorization.

72000433815700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648893 (or 648886 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 72000433815700 in words is "seventy-two trillion, four hundred thirty-three million, eight hundred fifteen thousand, seven hundred".