72215874 has 40 divisors (see below), whose sum is σ = 162624000. Its totient is φ = 23952024.

The previous prime is 72215873. The next prime is 72215911. The reversal of 72215874 is 47851227.

72215874 is a `hidden beast` number, since 72 + 2 + 1 + 587 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (72215873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35127 + ... + 37125.

It is an arithmetic number, because the mean of its divisors is an integer number (4065600).

Almost surely, 2^72215874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72215874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81312000).

72215874 is an abundant number, since it is smaller than the sum of its proper divisors (90408126).

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

72215874 is a wasteful number, since it uses less digits than its factorization.

72215874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2227 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 72215874 is about 8497.9923511380. The cubic root of 72215874 is about 416.4321238578.

The spelling of 72215874 in words is "seventy-two million, two hundred fifteen thousand, eight hundred seventy-four".