90522720 has 144 divisors (see below), whose sum is σ = 317444400. Its totient is φ = 23473152.

The previous prime is 90522713. The next prime is 90522721. The reversal of 90522720 is 2722509.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90522721) 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, 52431 + ... + 54129.

It is an arithmetic number, because the mean of its divisors is an integer number (2204475).

Almost surely, 2^90522720 is an apocalyptic number.

90522720 is a gapful number since it is divisible by the number (90) 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 90522720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158722200).

90522720 is an abundant number, since it is smaller than the sum of its proper divisors (226921680).

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

90522720 is a wasteful number, since it uses less digits than its factorization.

90522720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 90522720 is about 9514.3428569713. The cubic root of 90522720 is about 449.0064003400.

Adding to 90522720 its product of nonzero digits (2520), we get a triangular number (90525240 = T₁₃₄₅₅).

The spelling of 90522720 in words is "ninety million, five hundred twenty-two thousand, seven hundred twenty".