72990456 has 128 divisors (see below), whose sum is σ = 230031360. Its totient is φ = 18748800.

The previous prime is 72990451. The next prime is 72990509. The reversal of 72990456 is 65409927.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72990451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234541 + ... + 234851.

It is an arithmetic number, because the mean of its divisors is an integer number (1797120).

Almost surely, 2^72990456 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 72990456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115015680).

72990456 is an abundant number, since it is smaller than the sum of its proper divisors (157040904).

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

72990456 is a wasteful number, since it uses less digits than its factorization.

72990456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 72990456 is about 8543.4452067067. The cubic root of 72990456 is about 417.9157053223.

It can be divided in two parts, 72 and 990456, that added together give a triangular number (990528 = T₁₄₀₇).

The spelling of 72990456 in words is "seventy-two million, nine hundred ninety thousand, four hundred fifty-six".