72424616 has 32 divisors (see below), whose sum is σ = 148992480. Its totient is φ = 32731200.

The previous prime is 72424613. The next prime is 72424621. The reversal of 72424616 is 61642427.

It is not an unprimeable number, because it can be changed into a prime (72424613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13655 + ... + 18201.

It is an arithmetic number, because the mean of its divisors is an integer number (4656015).

Almost surely, 2^72424616 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 72424616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74496240).

72424616 is an abundant number, since it is smaller than the sum of its proper divisors (76567864).

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

72424616 is a wasteful number, since it uses less digits than its factorization.

72424616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4745 (or 4741 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 72424616 is about 8510.2653307638. The cubic root of 72424616 is about 416.8329741093.

The spelling of 72424616 in words is "seventy-two million, four hundred twenty-four thousand, six hundred sixteen".