752048 has 20 divisors (see below), whose sum is σ = 1589928. Its totient is φ = 341760.

The previous prime is 752033. The next prime is 752053. The reversal of 752048 is 840257.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

752048 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1961 + ... + 2312.

2⁷⁵²⁰⁴⁸ is an apocalyptic number.

It is an amenable number.

752048 is an abundant number, since it is smaller than the sum of its proper divisors (837880).

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

752048 is a wasteful number, since it uses less digits than its factorization.

752048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292 (or 4286 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 752048 is about 867.2070110418. The cubic root of 752048 is about 90.9386536582.

Subtracting 752048 from its reverse (840257), we obtain a square (88209 = 297²).

The spelling of 752048 in words is "seven hundred fifty-two thousand, forty-eight".