52752400 has 60 divisors (see below), whose sum is σ = 129727312. Its totient is φ = 20603520.

The previous prime is 52752389. The next prime is 52752433. The reversal of 52752400 is 425725.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15667 + ... + 18733.

Almost surely, 2^52752400 is an apocalyptic number.

52752400 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 52752400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64863656).

52752400 is an abundant number, since it is smaller than the sum of its proper divisors (76974912).

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

52752400 is a wasteful number, since it uses less digits than its factorization.

52752400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 52752400 is about 7263.0847441015. The cubic root of 52752400 is about 375.0427210588.

The spelling of 52752400 in words is "fifty-two million, seven hundred fifty-two thousand, four hundred".