72277253436700 has 72 divisors (see below), whose sum is σ = 168957221077008. Its totient is φ = 26678953297920.

The previous prime is 72277253436697. The next prime is 72277253436749. The reversal of 72277253436700 is 763435277227.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4045717 + ... + 12685516.

It is an arithmetic number, because the mean of its divisors is an integer number (2346628070514).

Almost surely, 2^{72277253436700} is an apocalyptic number.

It is an amenable number.

72277253436700 is an abundant number, since it is smaller than the sum of its proper divisors (96679967640308).

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

72277253436700 is a wasteful number, since it uses less digits than its factorization.

72277253436700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16734583 (or 16734576 counting only the distinct ones).

The product of its (nonzero) digits is 20744640, while the sum is 55.

The spelling of 72277253436700 in words is "seventy-two trillion, two hundred seventy-seven billion, two hundred fifty-three million, four hundred thirty-six thousand, seven hundred".