72219336 has 128 divisors (see below), whose sum is σ = 218112000. Its totient is φ = 19897920.

The previous prime is 72219319. The next prime is 72219353. The reversal of 72219336 is 63391227.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72219319) and next prime (72219353).

It is a junction number, because it is equal to n+sod(n) for n = 72219297 and 72219306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255051 + ... + 255333.

It is an arithmetic number, because the mean of its divisors is an integer number (1704000).

Almost surely, 2^72219336 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 72219336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109056000).

72219336 is an abundant number, since it is smaller than the sum of its proper divisors (145892664).

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

72219336 is a wasteful number, since it uses less digits than its factorization.

72219336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 326 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 72219336 is about 8498.1960438672. The cubic root of 72219336 is about 416.4387782810.

The spelling of 72219336 in words is "seventy-two million, two hundred nineteen thousand, three hundred thirty-six".