72603256 has 64 divisors (see below), whose sum is σ = 157852800. Its totient is φ = 30960000.

The previous prime is 72603253. The next prime is 72603281. The reversal of 72603256 is 65230627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72603253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289131 + ... + 289381.

It is an arithmetic number, because the mean of its divisors is an integer number (2466450).

Almost surely, 2^72603256 is an apocalyptic number.

72603256 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72603256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78926400).

72603256 is an abundant number, since it is smaller than the sum of its proper divisors (85249544).

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

72603256 is a wasteful number, since it uses less digits than its factorization.

72603256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 72603256 is about 8520.7544266925. The cubic root of 72603256 is about 417.1754078827.

The spelling of 72603256 in words is "seventy-two million, six hundred three thousand, two hundred fifty-six".