52713600 has 288 divisors, whose sum is σ = 194146800. Its totient is φ = 12533760.

The previous prime is 52713593. The next prime is 52713611. The reversal of 52713600 is 631725.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2774391 + ... + 2774409.

Almost surely, 2^52713600 is an apocalyptic number.

52713600 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 52713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97073400).

52713600 is an abundant number, since it is smaller than the sum of its proper divisors (141433200).

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

52713600 is a wasteful number, since it uses less digits than its factorization.

52713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 52713600 is about 7260.4132113813. The cubic root of 52713600 is about 374.9507490874.

The spelling of 52713600 in words is "fifty-two million, seven hundred thirteen thousand, six hundred".