72499456 has 36 divisors (see below), whose sum is σ = 145641132. Its totient is φ = 36018176.

The previous prime is 72499451. The next prime is 72499457. The reversal of 72499456 is 65499427.

It can be written as a sum of positive squares in 2 ways, for example, as 31539456 + 40960000 = 5616^2 + 6400^2 .

It is a super-2 number, since 2×72499456² = 10512342240591872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72499451) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43470 + ... + 45106.

It is an arithmetic number, because the mean of its divisors is an integer number (4045587).

Almost surely, 2^72499456 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 72499456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72820566).

72499456 is an abundant number, since it is smaller than the sum of its proper divisors (73141676).

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

72499456 is a wasteful number, since it uses less digits than its factorization.

72499456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1812 counting only the distinct ones).

The product of its digits is 544320, while the sum is 46.

The square root of 72499456 is about 8514.6612381233. The cubic root of 72499456 is about 416.9765028444.

The spelling of 72499456 in words is "seventy-two million, four hundred ninety-nine thousand, four hundred fifty-six".