72556300715100 has 144 divisors (see below), whose sum is σ = 215115942386016. Its totient is φ = 18870629888000.

The previous prime is 72556300715081. The next prime is 72556300715117. The reversal of 72556300715100 is 151700365527.

72556300715100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39155530 + ... + 40966670.

It is an arithmetic number, because the mean of its divisors is an integer number (1493860711014).

Almost surely, 2^{72556300715100} 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 72556300715100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107557971193008).

72556300715100 is an abundant number, since it is smaller than the sum of its proper divisors (142559641670916).

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

72556300715100 is a wasteful number, since it uses less digits than its factorization.

72556300715100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814456 (or 1814449 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 42.

The spelling of 72556300715100 in words is "seventy-two trillion, five hundred fifty-six billion, three hundred million, seven hundred fifteen thousand, one hundred".