90240752 has 120 divisors (see below), whose sum is σ = 217128960. Its totient is φ = 36167040.

The previous prime is 90240737. The next prime is 90240757. The reversal of 90240752 is 25704209.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90240757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1142249 + ... + 1142327.

It is an arithmetic number, because the mean of its divisors is an integer number (1809408).

Almost surely, 2^90240752 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 90240752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108564480).

90240752 is an abundant number, since it is smaller than the sum of its proper divisors (126888208).

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

90240752 is a wasteful number, since it uses less digits than its factorization.

90240752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 90240752 is about 9499.5132506882. The cubic root of 90240752 is about 448.5397141184.

The spelling of 90240752 in words is "ninety million, two hundred forty thousand, seven hundred fifty-two".