72101880 has 128 divisors (see below), whose sum is σ = 243086400. Its totient is φ = 19008000.

The previous prime is 72101857. The next prime is 72101951. The reversal of 72101880 is 8810127.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108750 + ... + 109410.

Almost surely, 2^72101880 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 72101880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121543200).

72101880 is an abundant number, since it is smaller than the sum of its proper divisors (170984520).

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

72101880 is a wasteful number, since it uses less digits than its factorization.

72101880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 72101880 is about 8491.2825886317. The cubic root of 72101880 is about 416.2128933727.

The spelling of 72101880 in words is "seventy-two million, one hundred one thousand, eight hundred eighty".