72216492 has 48 divisors (see below), whose sum is σ = 179007360. Its totient is φ = 22595328.

The previous prime is 72216449. The next prime is 72216499. The reversal of 72216492 is 29461227.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (72216499) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24363 + ... + 27165.

It is an arithmetic number, because the mean of its divisors is an integer number (3729320).

Almost surely, 2^72216492 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 72216492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89503680).

72216492 is an abundant number, since it is smaller than the sum of its proper divisors (106790868).

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

72216492 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (72216491) it forms an eRAP, since the sums of their prime factors are consecutive (2941 and 2942).

72216492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2940 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 72216492 is about 8498.0287125898. The cubic root of 72216492 is about 416.4333117513.

The spelling of 72216492 in words is "seventy-two million, two hundred sixteen thousand, four hundred ninety-two".