72627456 has 72 divisors (see below), whose sum is σ = 210891744. Its totient is φ = 22005760.

The previous prime is 72627449. The next prime is 72627479. The reversal of 72627456 is 65472627.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4150 + ... + 12746.

It is an arithmetic number, because the mean of its divisors is an integer number (2929052).

Almost surely, 2^72627456 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 72627456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105445872).

72627456 is an abundant number, since it is smaller than the sum of its proper divisors (138264288).

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

72627456 is a wasteful number, since it uses less digits than its factorization.

72627456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8627 (or 8613 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 72627456 is about 8522.1743704292. The cubic root of 72627456 is about 417.2217534781.

It can be divided in two parts, 726 and 27456, that added together give a palindrome (28182).

The spelling of 72627456 in words is "seventy-two million, six hundred twenty-seven thousand, four hundred fifty-six".