72615144 has 128 divisors (see below), whose sum is σ = 218234880. Its totient is φ = 19699200.

The previous prime is 72615133. The next prime is 72615157. The reversal of 72615144 is 44151627.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380089 + ... + 380279.

It is an arithmetic number, because the mean of its divisors is an integer number (1704960).

Almost surely, 2^72615144 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 72615144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109117440).

72615144 is an abundant number, since it is smaller than the sum of its proper divisors (145619736).

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

72615144 is a wasteful number, since it uses less digits than its factorization.

72615144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 307 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 72615144 is about 8521.4519889512. The cubic root of 72615144 is about 417.1981759644.

The spelling of 72615144 in words is "seventy-two million, six hundred fifteen thousand, one hundred forty-four".