90259752 has 64 divisors (see below), whose sum is σ = 251919360. Its totient is φ = 26712000.

The previous prime is 90259711. The next prime is 90259769. The reversal of 90259752 is 25795209.

It is a super-2 number, since 2×90259752² = 16293645662203008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90259752.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7377 + ... + 15327.

It is an arithmetic number, because the mean of its divisors is an integer number (3936240).

Almost surely, 2^90259752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90259752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125959680).

90259752 is an abundant number, since it is smaller than the sum of its proper divisors (161659608).

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

90259752 is a wasteful number, since it uses less digits than its factorization.

90259752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8014 (or 8010 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 90259752 is about 9500.5132492934. The cubic root of 90259752 is about 448.5711916062.

The spelling of 90259752 in words is "ninety million, two hundred fifty-nine thousand, seven hundred fifty-two".