90243072 has 170 divisors, whose sum is σ = 285472638. Its totient is φ = 28311552.

The previous prime is 90243061. The next prime is 90243073. The reversal of 90243072 is 27034209.

It can be written as a sum of positive squares in only one way, i.e., 84934656 + 5308416 = 9216^2 + 2304^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (90243073) by changing a digit.

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 in 9 ways as a sum of consecutive naturals, for example, 5308408 + ... + 5308424.

Almost surely, 2^90243072 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 90243072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142736319).

90243072 is an abundant number, since it is smaller than the sum of its proper divisors (195229566).

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

90243072 is an frugal number, since it uses more digits than its factorization.

90243072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 90243072 is about 9499.6353614231. The cubic root of 90243072 is about 448.5435579221.

The spelling of 90243072 in words is "ninety million, two hundred forty-three thousand, seventy-two".