72403056 has 120 divisors (see below), whose sum is σ = 226402176. Its totient is φ = 21409920.

The previous prime is 72403039. The next prime is 72403061. The reversal of 72403056 is 65030427.

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 23 ways as a sum of consecutive naturals, for example, 67581 + ... + 68643.

Almost surely, 2^72403056 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 72403056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113201088).

72403056 is an abundant number, since it is smaller than the sum of its proper divisors (153999120).

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

72403056 is a wasteful number, since it uses less digits than its factorization.

72403056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 72403056 is about 8508.9985309671. The cubic root of 72403056 is about 416.7916078293.

It can be divided in two parts, 7240 and 3056, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 72403056 in words is "seventy-two million, four hundred three thousand, fifty-six".