72442656 has 144 divisors (see below), whose sum is σ = 242161920. Its totient is φ = 20252160.

The previous prime is 72442639. The next prime is 72442673. The reversal of 72442656 is 65624427.

It is an interprime number because it is at equal distance from previous prime (72442639) and next prime (72442673).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72442656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40305 + ... + 42063.

It is an arithmetic number, because the mean of its divisors is an integer number (1681680).

Almost surely, 2^72442656 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 72442656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121080960).

72442656 is an abundant number, since it is smaller than the sum of its proper divisors (169719264).

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

72442656 is a wasteful number, since it uses less digits than its factorization.

72442656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1788 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 72442656 is about 8511.3251612190. The cubic root of 72442656 is about 416.8675804030.

The spelling of 72442656 in words is "seventy-two million, four hundred forty-two thousand, six hundred fifty-six".