53772400 has 120 divisors (see below), whose sum is σ = 143504208. Its totient is φ = 19360000.

The previous prime is 53772319. The next prime is 53772401. The reversal of 53772400 is 427735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53772401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 532350 + ... + 532450.

Almost surely, 2^53772400 is an apocalyptic number.

53772400 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 53772400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71752104).

53772400 is an abundant number, since it is smaller than the sum of its proper divisors (89731808).

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

53772400 is a wasteful number, since it uses less digits than its factorization.

53772400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 53772400 is about 7332.9666574995. The cubic root of 53772400 is about 377.4445337568. Note that the first 3 decimals are identical.

It can be divided in two parts, 5377 and 2400, that added together give a palindrome (7777).

The spelling of 53772400 in words is "fifty-three million, seven hundred seventy-two thousand, four hundred".