52590720 has 384 divisors, whose sum is σ = 214885440. Its totient is φ = 10838016.

The previous prime is 52590701. The next prime is 52590721. The reversal of 52590720 is 2709525.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (52590721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1223019 + ... + 1223061.

Almost surely, 2^52590720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107442720).

52590720 is an abundant number, since it is smaller than the sum of its proper divisors (162294720).

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

52590720 is a wasteful number, since it uses less digits than its factorization.

52590720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 52590720 is about 7251.9459457445. The cubic root of 52590720 is about 374.6591747734.

The spelling of 52590720 in words is "fifty-two million, five hundred ninety thousand, seven hundred twenty".