752625 has 32 divisors (see below), whose sum is σ = 1397760. Its totient is φ = 399600.

The previous prime is 752603. The next prime is 752627. The reversal of 752625 is 526257.

It is not a de Polignac number, because 752625 - 2⁵ = 752593 is a prime.

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

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (752627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3264 + ... + 3486.

It is an arithmetic number, because the mean of its divisors is an integer number (43680).

2⁷⁵²⁶²⁵ is an apocalyptic number.

752625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

752625 is a deficient number, since it is larger than the sum of its proper divisors (645135).

752625 is a wasteful number, since it uses less digits than its factorization.

752625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 231 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 752625 is about 867.5396244553. The cubic root of 752625 is about 90.9619049176.

The spelling of 752625 in words is "seven hundred fifty-two thousand, six hundred twenty-five".