72394416 has 60 divisors (see below), whose sum is σ = 206061960. Its totient is φ = 23719680.

The previous prime is 72394391. The next prime is 72394463. The reversal of 72394416 is 61449327.

72394416 is a `hidden beast` number, since 7 + 239 + 4 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4236 + ... + 12756.

It is an arithmetic number, because the mean of its divisors is an integer number (3434366).

Almost surely, 2^72394416 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 72394416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103030980).

72394416 is an abundant number, since it is smaller than the sum of its proper divisors (133667544).

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

72394416 is a wasteful number, since it uses less digits than its factorization.

72394416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8594 (or 8585 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 72394416 is about 8508.4908180006. The cubic root of 72394416 is about 416.7750283139.

The spelling of 72394416 in words is "seventy-two million, three hundred ninety-four thousand, four hundred sixteen".