190752 has 24 divisors (see below), whose sum is σ = 500976. Its totient is φ = 63552.

The previous prime is 190717. The next prime is 190753. The reversal of 190752 is 257091.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (190753) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 898 + ... + 1089.

It is an arithmetic number, because the mean of its divisors is an integer number (20874).

2¹⁹⁰⁷⁵² is an apocalyptic number.

190752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

190752 is an abundant number, since it is smaller than the sum of its proper divisors (310224).

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

190752 is a wasteful number, since it uses less digits than its factorization.

190752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 190752 is about 436.7516456752. The cubic root of 190752 is about 57.5647160449.

The spelling of 190752 in words is "one hundred ninety thousand, seven hundred fifty-two".