72100056 has 64 divisors (see below), whose sum is σ = 208857600. Its totient is φ = 20314368.

The previous prime is 72100051. The next prime is 72100069. The reversal of 72100056 is 65000127.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72100051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9325 + ... + 15203.

It is an arithmetic number, because the mean of its divisors is an integer number (3263400).

Almost surely, 2^72100056 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 72100056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104428800).

72100056 is an abundant number, since it is smaller than the sum of its proper divisors (136757544).

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

72100056 is a wasteful number, since it uses less digits than its factorization.

72100056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5968 (or 5964 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 72100056 is about 8491.1751836834. The cubic root of 72100056 is about 416.2093836227.

It can be divided in two parts, 72 and 100056, that added together give a triangular number (100128 = T₄₄₇).

The spelling of 72100056 in words is "seventy-two million, one hundred thousand, fifty-six".