72630144 has 96 divisors (see below), whose sum is σ = 212345640. Its totient is φ = 23823360.

The previous prime is 72630133. The next prime is 72630169. The reversal of 72630144 is 44103627.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76714 + ... + 77654.

Almost surely, 2^72630144 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 72630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106172820).

72630144 is an abundant number, since it is smaller than the sum of its proper divisors (139715496).

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

72630144 is a wasteful number, since it uses less digits than its factorization.

72630144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 72630144 is about 8522.3320752010. The cubic root of 72630144 is about 417.2269006511.

The spelling of 72630144 in words is "seventy-two million, six hundred thirty thousand, one hundred forty-four".