72914220 has 72 divisors (see below), whose sum is σ = 225375696. Its totient is φ = 19074432.

The previous prime is 72914213. The next prime is 72914227. The reversal of 72914220 is 2241927.

It is an interprime number because it is at equal distance from previous prime (72914213) and next prime (72914227).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (72914227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5719 + ... + 13361.

It is an arithmetic number, because the mean of its divisors is an integer number (3130218).

Almost surely, 2^72914220 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 72914220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112687848).

72914220 is an abundant number, since it is smaller than the sum of its proper divisors (152461476).

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

72914220 is a wasteful number, since it uses less digits than its factorization.

72914220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7711 (or 7706 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 72914220 is about 8538.9823749672. The cubic root of 72914220 is about 417.7701551495.

It can be divided in two parts, 7291 and 4220, that added together give a palindrome (11511).

The spelling of 72914220 in words is "seventy-two million, nine hundred fourteen thousand, two hundred twenty".