752096 has 24 divisors (see below), whose sum is σ = 1559880. Its totient is φ = 355968.

The previous prime is 752093. The next prime is 752107. The reversal of 752096 is 690257.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752093) by changing a digit.

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, 11 + ... + 1226.

It is an arithmetic number, because the mean of its divisors is an integer number (64995).

2⁷⁵²⁰⁹⁶ is an apocalyptic number.

752096 is a gapful number since it is divisible by the number (76) 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 752096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779940).

752096 is an abundant number, since it is smaller than the sum of its proper divisors (807784).

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

752096 is a wasteful number, since it uses less digits than its factorization.

752096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 752096 is about 867.2346856532. The cubic root of 752096 is about 90.9405883585.

The spelling of 752096 in words is "seven hundred fifty-two thousand, ninety-six".