91863072 has 240 divisors, whose sum is σ = 317604672. Its totient is φ = 25505280.

The previous prime is 91863061. The next prime is 91863077. The reversal of 91863072 is 27036819.

91863072 is a `hidden beast` number, since 9 + 18 + 630 + 7 + 2 = 666.

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 (91863077) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1106743 + ... + 1106825.

Almost surely, 2^91863072 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 91863072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158802336).

91863072 is an abundant number, since it is smaller than the sum of its proper divisors (225741600).

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

91863072 is a wasteful number, since it uses less digits than its factorization.

91863072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 91863072 is about 9584.5225233185. The cubic root of 91863072 is about 451.2116678739.

The spelling of 91863072 in words is "ninety-one million, eight hundred sixty-three thousand, seventy-two".