50572800 has 180 divisors, whose sum is σ = 181398360. Its totient is φ = 13455360.

The previous prime is 50572783. The next prime is 50572817. The reversal of 50572800 is 827505.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (50572783) and next prime (50572817).

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114981 + ... + 115419.

Almost surely, 2^50572800 is an apocalyptic number.

50572800 is a gapful number since it is divisible by the number (50) 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 50572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90699180).

50572800 is an abundant number, since it is smaller than the sum of its proper divisors (130825560).

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

50572800 is a wasteful number, since it uses less digits than its factorization.

50572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 50572800 is about 7111.4555472139. The cubic root of 50572800 is about 369.8046204900.

The spelling of 50572800 in words is "fifty million, five hundred seventy-two thousand, eight hundred".