749952 has 128 divisors (see below), whose sum is σ = 2611200. Its totient is φ = 207360.

The previous prime is 749941. The next prime is 749971. The reversal of 749952 is 259947.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

749952 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 15 ways as a sum of consecutive naturals, for example, 24177 + ... + 24207.

It is an arithmetic number, because the mean of its divisors is an integer number (20400).

2⁷⁴⁹⁹⁵² is an apocalyptic number.

749952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 749952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305600).

749952 is an abundant number, since it is smaller than the sum of its proper divisors (1861248).

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

749952 is a wasteful number, since it uses less digits than its factorization.

749952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 43 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 749952 is about 865.9976905281. The cubic root of 749952 is about 90.8540913383.

The spelling of 749952 in words is "seven hundred forty-nine thousand, nine hundred fifty-two".