72100680 has 128 divisors (see below), whose sum is σ = 225244800. Its totient is φ = 18450432.

The previous prime is 72100631. The next prime is 72100681. The reversal of 72100680 is 8600127.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 72100680.

It is not an unprimeable number, because it can be changed into a prime (72100681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459162 + ... + 459318.

It is an arithmetic number, because the mean of its divisors is an integer number (1759725).

Almost surely, 2^72100680 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 72100680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112622400).

72100680 is an abundant number, since it is smaller than the sum of its proper divisors (153144120).

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

72100680 is a wasteful number, since it uses less digits than its factorization.

72100680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 72100680 is about 8491.2119276344. The cubic root of 72100680 is about 416.2105843333.

The spelling of 72100680 in words is "seventy-two million, one hundred thousand, six hundred eighty".