752672 has 24 divisors (see below), whose sum is σ = 1519056. Its totient is φ = 366912.

The previous prime is 752651. The next prime is 752681. The reversal of 752672 is 276257.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1103 + ... + 1649.

It is an arithmetic number, because the mean of its divisors is an integer number (63294).

2⁷⁵²⁶⁷² 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 752672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759528).

752672 is an abundant number, since it is smaller than the sum of its proper divisors (766384).

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

752672 is a wasteful number, since it uses less digits than its factorization.

752672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 592 counting only the distinct ones).

The product of its digits is 5880, while the sum is 29.

The square root of 752672 is about 867.5667121323. The cubic root of 752672 is about 90.9637983442.

The spelling of 752672 in words is "seven hundred fifty-two thousand, six hundred seventy-two".