52736400 has 240 divisors, whose sum is σ = 198350400. Its totient is φ = 13271040.

The previous prime is 52736399. The next prime is 52736417. The reversal of 52736400 is 463725.

52736400 = T₁₇₁ + T₁₇₂ + ... + T₆₈₄.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×52736400² = 5562255769920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205072 + ... + 205328.

It is an arithmetic number, because the mean of its divisors is an integer number (826460).

Almost surely, 2^52736400 is an apocalyptic number.

52736400 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 52736400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99175200).

52736400 is an abundant number, since it is smaller than the sum of its proper divisors (145614000).

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

52736400 is a wasteful number, since it uses less digits than its factorization.

52736400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 286 counting only the distinct ones).

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

The square root of 52736400 is about 7261.9832002009. The cubic root of 52736400 is about 375.0047999386.

The spelling of 52736400 in words is "fifty-two million, seven hundred thirty-six thousand, four hundred".