752064 has 28 divisors (see below), whose sum is σ = 1990344. Its totient is φ = 250624.

The previous prime is 752053. The next prime is 752083. The reversal of 752064 is 460257.

It is a happy number.

752064 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 (24).

It is a congruent number.

It is an unprimeable number.

752064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1767 + ... + 2150.

2⁷⁵²⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

752064 is an abundant number, since it is smaller than the sum of its proper divisors (1238280).

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

752064 is a wasteful number, since it uses less digits than its factorization.

752064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3932 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 752064 is about 867.2162360104. The cubic root of 752064 is about 90.9392985674.

The spelling of 752064 in words is "seven hundred fifty-two thousand, sixty-four".