749632 has 56 divisors (see below), whose sum is σ = 1728216. Its totient is φ = 319488.

The previous prime is 749587. The next prime is 749641. The reversal of 749632 is 236947.

It can be written as a sum of positive squares in 4 ways, for example, as 147456 + 602176 = 384^2 + 776^2 .

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 749594 and 749603.

It is a congruent number.

It is an unprimeable number.

749632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14118 + ... + 14170.

It is an arithmetic number, because the mean of its divisors is an integer number (30861).

2⁷⁴⁹⁶³² 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 749632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864108).

749632 is an abundant number, since it is smaller than the sum of its proper divisors (978584).

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

749632 is a wasteful number, since it uses less digits than its factorization.

749632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 85 counting only the distinct ones).

The product of its digits is 9072, while the sum is 31.

The square root of 749632 is about 865.8129128166. The cubic root of 749632 is about 90.8411672021.

The spelling of 749632 in words is "seven hundred forty-nine thousand, six hundred thirty-two".