72630272 has 120 divisors (see below), whose sum is σ = 176155392. Its totient is φ = 29491200.

The previous prime is 72630263. The next prime is 72630289. The reversal of 72630272 is 27203627.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2342897 + ... + 2342927.

Almost surely, 2^72630272 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 72630272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88077696).

72630272 is an abundant number, since it is smaller than the sum of its proper divisors (103525120).

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

72630272 is a wasteful number, since it uses less digits than its factorization.

72630272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 72630272 is about 8522.3395848793. The cubic root of 72630272 is about 417.2271457514.

Adding to 72630272 its reverse (27203627), we get a palindrome (99833899).

The spelling of 72630272 in words is "seventy-two million, six hundred thirty thousand, two hundred seventy-two".