72270720 has 96 divisors (see below), whose sum is σ = 249579720. Its totient is φ = 19270656.

The previous prime is 72270719. The next prime is 72270743. The reversal of 72270720 is 2707227.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 514 + ... + 12033.

Almost surely, 2^72270720 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 72270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124789860).

72270720 is an abundant number, since it is smaller than the sum of its proper divisors (177309000).

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

72270720 is a wasteful number, since it uses less digits than its factorization.

72270720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12572 (or 12557 counting only the distinct ones).

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

The square root of 72270720 is about 8501.2187361578. The cubic root of 72270720 is about 416.5375201527.

Adding to 72270720 its reverse (2707227), we get a palindrome (74977947).

The spelling of 72270720 in words is "seventy-two million, two hundred seventy thousand, seven hundred twenty".