55752500 has 60 divisors (see below), whose sum is σ = 126287700. Its totient is φ = 21504000.

The previous prime is 55752493. The next prime is 55752523. The reversal of 55752500 is 525755.

It can be written as a sum of positive squares in 10 ways, for example, as 44809636 + 10942864 = 6694^2 + 3308^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72116 + ... + 72884.

It is an arithmetic number, because the mean of its divisors is an integer number (2104795).

Almost surely, 2^55752500 is an apocalyptic number.

55752500 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 55752500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63143850).

55752500 is an abundant number, since it is smaller than the sum of its proper divisors (70535200).

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

55752500 is a wasteful number, since it uses less digits than its factorization.

55752500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 8750, while the sum is 29.

The square root of 55752500 is about 7466.7596720398. The cubic root of 55752500 is about 382.0217726504.

The spelling of 55752500 in words is "fifty-five million, seven hundred fifty-two thousand, five hundred".