72211920 has 160 divisors (see below), whose sum is σ = 258733440. Its totient is φ = 16465920.

The previous prime is 72211907. The next prime is 72211933. The reversal of 72211920 is 2911227.

It is an interprime number because it is at equal distance from previous prime (72211907) and next prime (72211933).

It is a super-2 number, since 2×72211920² = 10429122780172800, which contains 22 as substring.

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

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, 44076 + ... + 45684.

It is an arithmetic number, because the mean of its divisors is an integer number (1617084).

Almost surely, 2^72211920 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 72211920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129366720).

72211920 is an abundant number, since it is smaller than the sum of its proper divisors (186521520).

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

72211920 is a wasteful number, since it uses less digits than its factorization.

72211920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 72211920 is about 8497.7597047693. The cubic root of 72211920 is about 416.4245234851.

The spelling of 72211920 in words is "seventy-two million, two hundred eleven thousand, nine hundred twenty".