72211860 has 144 divisors (see below), whose sum is σ = 252435456. Its totient is φ = 16367616.

The previous prime is 72211847. The next prime is 72211877. The reversal of 72211860 is 6811227.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280852 + ... + 281108.

It is an arithmetic number, because the mean of its divisors is an integer number (1753024).

Almost surely, 2^72211860 is an apocalyptic number.

72211860 is a gapful number since it is divisible by the number (70) 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 72211860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126217728).

72211860 is an abundant number, since it is smaller than the sum of its proper divisors (180223596).

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

72211860 is a wasteful number, since it uses less digits than its factorization.

72211860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 72211860 is about 8497.7561744263. The cubic root of 72211860 is about 416.4244081510.

The spelling of 72211860 in words is "seventy-two million, two hundred eleven thousand, eight hundred sixty".