72072720 has 160 divisors (see below), whose sum is σ = 252781440. Its totient is φ = 18869760.

The previous prime is 72072713. The next prime is 72072769. The reversal of 72072720 is 2727027.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 131487 + ... + 132033.

It is an arithmetic number, because the mean of its divisors is an integer number (1579884).

Almost surely, 2^72072720 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 72072720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126390720).

72072720 is an abundant number, since it is smaller than the sum of its proper divisors (180708720).

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

72072720 is a wasteful number, since it uses less digits than its factorization.

72072720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 72072720 is about 8489.5653598992. The cubic root of 72072720 is about 416.1567764611.

Adding to 72072720 its reverse (2727027), we get a palindrome (74799747).

The spelling of 72072720 in words is "seventy-two million, seventy-two thousand, seven hundred twenty".