90145272 has 128 divisors (see below), whose sum is σ = 280166400. Its totient is φ = 23587200.

The previous prime is 90145267. The next prime is 90145273. The reversal of 90145272 is 27254109.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90145273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98497 + ... + 99407.

It is an arithmetic number, because the mean of its divisors is an integer number (2188800).

Almost surely, 2^90145272 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 90145272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140083200).

90145272 is an abundant number, since it is smaller than the sum of its proper divisors (190021128).

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

90145272 is a wasteful number, since it uses less digits than its factorization.

90145272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 90145272 is about 9494.4864000113. The cubic root of 90145272 is about 448.3814645316.

The spelling of 90145272 in words is "ninety million, one hundred forty-five thousand, two hundred seventy-two".