72990400 has 210 divisors, whose sum is σ = 220550740. Its totient is φ = 23708160.

The previous prime is 72990383. The next prime is 72990439. The reversal of 72990400 is 409927.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3841591 + ... + 3841609.

Almost surely, 2^72990400 is an apocalyptic number.

72990400 is a gapful number since it is divisible by the number (70) 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 72990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110275370).

72990400 is an abundant number, since it is smaller than the sum of its proper divisors (147560340).

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

72990400 is an equidigital number, since it uses as much as digits as its factorization.

72990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 72990400 is about 8543.4419293397. The cubic root of 72990400 is about 417.9155984440.

The spelling of 72990400 in words is "seventy-two million, nine hundred ninety thousand, four hundred".