72140720 has 80 divisors (see below), whose sum is σ = 182369280. Its totient is φ = 26438400.

The previous prime is 72140693. The next prime is 72140729. The reversal of 72140720 is 2704127.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (72140729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46355 + ... + 47885.

It is an arithmetic number, because the mean of its divisors is an integer number (2279616).

Almost surely, 2^72140720 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 72140720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91184640).

72140720 is an abundant number, since it is smaller than the sum of its proper divisors (110228560).

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

72140720 is a wasteful number, since it uses less digits than its factorization.

72140720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 72140720 is about 8493.5693321477. The cubic root of 72140720 is about 416.2876154508.

Adding to 72140720 its reverse (2704127), we get a palindrome (74844847).

The spelling of 72140720 in words is "seventy-two million, one hundred forty thousand, seven hundred twenty".