753672 has 32 divisors (see below), whose sum is σ = 1946880. Its totient is φ = 242880.

The previous prime is 753659. The next prime is 753677. The reversal of 753672 is 276357.

It is not an unprimeable number, because it can be changed into a prime (753677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238 + ... + 1250.

It is an arithmetic number, because the mean of its divisors is an integer number (60840).

2⁷⁵³⁶⁷² 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 753672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973440).

753672 is an abundant number, since it is smaller than the sum of its proper divisors (1193208).

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

753672 is a wasteful number, since it uses less digits than its factorization.

753672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1049 counting only the distinct ones).

The product of its digits is 8820, while the sum is 30.

The square root of 753672 is about 868.1428453889. The cubic root of 753672 is about 91.0040653499.

The spelling of 753672 in words is "seven hundred fifty-three thousand, six hundred seventy-two".