51572400 has 120 divisors (see below), whose sum is σ = 180268224. Its totient is φ = 12499200.

The previous prime is 51572399. The next prime is 51572401. The reversal of 51572400 is 427515.

51572400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51572399) and next prime (51572401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51572401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11247 + ... + 15153.

Almost surely, 2^51572400 is an apocalyptic number.

51572400 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 51572400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90134112).

51572400 is an abundant number, since it is smaller than the sum of its proper divisors (128695824).

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

51572400 is a wasteful number, since it uses less digits than its factorization.

51572400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3939 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 51572400 is about 7181.3926226046. The cubic root of 51572400 is about 372.2252076029.

Adding to 51572400 its reverse (427515), we get a palindrome (51999915).

It can be divided in two parts, 5157 and 2400, that added together give a palindrome (7557).

The spelling of 51572400 in words is "fifty-one million, five hundred seventy-two thousand, four hundred".