752949 has 16 divisors (see below), whose sum is σ = 1132800. Its totient is φ = 494208.

The previous prime is 752933. The next prime is 752977. The reversal of 752949 is 949257.

It is not a de Polignac number, because 752949 - 2⁴ = 752933 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

752949 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1957 + ... + 2309.

It is an arithmetic number, because the mean of its divisors is an integer number (70800).

2⁷⁵²⁹⁴⁹ is an apocalyptic number.

752949 is a gapful number since it is divisible by the number (79) formed by its first and last digit.

It is an amenable number.

752949 is a deficient number, since it is larger than the sum of its proper divisors (379851).

752949 is a wasteful number, since it uses less digits than its factorization.

752949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 435 counting only the distinct ones).

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

The square root of 752949 is about 867.7263393490. The cubic root of 752949 is about 90.9749558744.

The spelling of 752949 in words is "seven hundred fifty-two thousand, nine hundred forty-nine".