72436616 has 32 divisors (see below), whose sum is σ = 156608640. Its totient is φ = 30766848.

The previous prime is 72436603. The next prime is 72436619. The reversal of 72436616 is 61663427.

It is a super-3 number, since 3×72436616³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72436619) 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, 605 + ... + 12051.

It is an arithmetic number, because the mean of its divisors is an integer number (4894020).

Almost surely, 2^72436616 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 72436616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78304320).

72436616 is an abundant number, since it is smaller than the sum of its proper divisors (84172024).

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

72436616 is a wasteful number, since it uses less digits than its factorization.

72436616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11573 (or 11569 counting only the distinct ones).

The product of its digits is 36288, while the sum is 35.

The square root of 72436616 is about 8510.9703324592. The cubic root of 72436616 is about 416.8559944567.

The spelling of 72436616 in words is "seventy-two million, four hundred thirty-six thousand, six hundred sixteen".