72720177213150 has 72 divisors (see below), whose sum is σ = 200655278215704. Its totient is φ = 18867937867200.

The previous prime is 72720177213149. The next prime is 72720177213217. The reversal of 72720177213150 is 5131277102727.

72720177213150 is a `hidden beast` number, since 7 + 272 + 0 + 17 + 7 + 213 + 150 = 666.

72720177213150 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 72720177213096 and 72720177213105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2183772456 + ... + 2183805755.

It is an arithmetic number, because the mean of its divisors is an integer number (2786878864107).

Almost surely, 2^{72720177213150} is an apocalyptic number.

72720177213150 is an abundant number, since it is smaller than the sum of its proper divisors (127935101002554).

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

72720177213150 is a wasteful number, since it uses less digits than its factorization.

72720177213150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4367578266 (or 4367578258 counting only the distinct ones).

The product of its (nonzero) digits is 288120, while the sum is 45.

The spelling of 72720177213150 in words is "seventy-two trillion, seven hundred twenty billion, one hundred seventy-seven million, two hundred thirteen thousand, one hundred fifty".