72271872 has 96 divisors (see below), whose sum is σ = 214250400. Its totient is φ = 24072192.

The previous prime is 72271867. The next prime is 72271891. The reversal of 72271872 is 27817227.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54643 + ... + 55949.

It is an arithmetic number, because the mean of its divisors is an integer number (2231775).

Almost surely, 2^72271872 is an apocalyptic number.

72271872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72271872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107125200).

72271872 is an abundant number, since it is smaller than the sum of its proper divisors (141978528).

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

72271872 is a wasteful number, since it uses less digits than its factorization.

72271872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1312 counting only the distinct ones).

The product of its digits is 21952, while the sum is 36.

The square root of 72271872 is about 8501.2864908789. The cubic root of 72271872 is about 416.5397333527.

The spelling of 72271872 in words is "seventy-two million, two hundred seventy-one thousand, eight hundred seventy-two".