53672400 has 180 divisors, whose sum is σ = 197439372. Its totient is φ = 13455360.

The previous prime is 53672393. The next prime is 53672407. The reversal of 53672400 is 427635.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53672393) and next prime (53672407).

It can be written as a sum of positive squares in 6 ways, for example, as 2005056 + 51667344 = 1416^2 + 7188^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53672407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60762 + ... + 61638.

Almost surely, 2^53672400 is an apocalyptic number.

53672400 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 53672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98719686).

53672400 is an abundant number, since it is smaller than the sum of its proper divisors (143766972).

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

53672400 is a wasteful number, since it uses less digits than its factorization.

53672400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 53672400 is about 7326.1449617108. The cubic root of 53672400 is about 377.2104119443.

The spelling of 53672400 in words is "fifty-three million, six hundred seventy-two thousand, four hundred".