90754272 has 216 divisors, whose sum is σ = 308107800. Its totient is φ = 25256448.

The previous prime is 90754249. The next prime is 90754273. The reversal of 90754272 is 27245709.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90754273) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 832554 + ... + 832662.

It is an arithmetic number, because the mean of its divisors is an integer number (1426425).

Almost surely, 2^90754272 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 90754272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154053900).

90754272 is an abundant number, since it is smaller than the sum of its proper divisors (217353528).

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

90754272 is a wasteful number, since it uses less digits than its factorization.

90754272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 90754272 is about 9526.5036608401. The cubic root of 90754272 is about 449.3889187008.

The spelling of 90754272 in words is "ninety million, seven hundred fifty-four thousand, two hundred seventy-two".