90934272 has 352 divisors, whose sum is σ = 330140160. Its totient is φ = 24330240.

The previous prime is 90934229. The next prime is 90934279. The reversal of 90934272 is 27243909.

It is a tau number, because it is divible by the number of its divisors (352).

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 (90934279) 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, 3953653 + ... + 3953675.

Almost surely, 2^90934272 is an apocalyptic number.

90934272 is a gapful number since it is divisible by the number (92) 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 90934272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165070080).

90934272 is an abundant number, since it is smaller than the sum of its proper divisors (239205888).

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

90934272 is a wasteful number, since it uses less digits than its factorization.

90934272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 90934272 is about 9535.9463085737. The cubic root of 90934272 is about 449.6858251492.

The spelling of 90934272 in words is "ninety million, nine hundred thirty-four thousand, two hundred seventy-two".