72319716 has 96 divisors (see below), whose sum is σ = 217109760. Its totient is φ = 20645280.

The previous prime is 72319711. The next prime is 72319721. The reversal of 72319716 is 61791327.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72319711) and next prime (72319721).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (72319711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60646 + ... + 61826.

It is an arithmetic number, because the mean of its divisors is an integer number (2261560).

Almost surely, 2^72319716 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 72319716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108554880).

72319716 is an abundant number, since it is smaller than the sum of its proper divisors (144790044).

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

72319716 is a wasteful number, since it uses less digits than its factorization.

72319716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1193 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 72319716 is about 8504.0999523759. The cubic root of 72319716 is about 416.6316295516.

The spelling of 72319716 in words is "seventy-two million, three hundred nineteen thousand, seven hundred sixteen".