90752 has 16 divisors (see below), whose sum is σ = 181050. Its totient is φ = 45312.

The previous prime is 90749. The next prime is 90787. The reversal of 90752 is 25709.

It can be written as a sum of positive squares in only one way, i.e., 87616 + 3136 = 296^2 + 56^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 227 + ... + 482.

2⁹⁰⁷⁵² is an apocalyptic number.

It is an amenable number.

90752 is a deficient number, since it is larger than the sum of its proper divisors (90298).

90752 is an equidigital number, since it uses as much as digits as its factorization.

90752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 90752 is about 301.2507261402. The cubic root of 90752 is about 44.9385168574.

It can be divided in two parts, 907 and 52, that added together give a palindrome (959).

The spelling of 90752 in words is "ninety thousand, seven hundred fifty-two".