72072260 has 48 divisors (see below), whose sum is σ = 166994352. Its totient is φ = 25958400.

The previous prime is 72072239. The next prime is 72072269. The reversal of 72072260 is 6227027.

It can be written as a sum of positive squares in 8 ways, for example, as 10355524 + 61716736 = 3218^2 + 7856^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (72072269) 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, 7280 + ... + 14040.

It is an arithmetic number, because the mean of its divisors is an integer number (3479049).

Almost surely, 2^72072260 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 72072260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83497176).

72072260 is an abundant number, since it is smaller than the sum of its proper divisors (94922092).

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

72072260 is a wasteful number, since it uses less digits than its factorization.

72072260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6824 (or 6822 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 72072260 is about 8489.5382677740. The cubic root of 72072260 is about 416.1558910936.

Adding to 72072260 its reverse (6227027), we get a palindrome (78299287).

The spelling of 72072260 in words is "seventy-two million, seventy-two thousand, two hundred sixty".