58752260 has 72 divisors (see below), whose sum is σ = 146328000. Its totient is φ = 19410048.

The previous prime is 58752257. The next prime is 58752271. The reversal of 58752260 is 6225785.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 58752260.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117491 + ... + 117989.

Almost surely, 2^58752260 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 58752260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73164000).

58752260 is an abundant number, since it is smaller than the sum of its proper divisors (87575740).

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

58752260 is a wasteful number, since it uses less digits than its factorization.

58752260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 58752260 is about 7665.0022831047. The cubic root of 58752260 is about 388.7539896131.

Subtracting from 58752260 its sum of digits (35), we obtain a square (58752225 = 7665²).

The spelling of 58752260 in words is "fifty-eight million, seven hundred fifty-two thousand, two hundred sixty".