752706 has 32 divisors (see below), whose sum is σ = 1710720. Its totient is φ = 245232.

The previous prime is 752701. The next prime is 752707. The reversal of 752706 is 607257.

752706 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 752706.

It is not an unprimeable number, because it can be changed into a prime (752701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2731 + ... + 2993.

It is an arithmetic number, because the mean of its divisors is an integer number (53460).

2⁷⁵²⁷⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 752706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855360).

752706 is an abundant number, since it is smaller than the sum of its proper divisors (958014).

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

752706 is a wasteful number, since it uses less digits than its factorization.

752706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 752706 is about 867.5863069459. The cubic root of 752706 is about 90.9651680079.

The spelling of 752706 in words is "seven hundred fifty-two thousand, seven hundred six".