91072944 has 80 divisors (see below), whose sum is σ = 276812640. Its totient is φ = 28569600.

The previous prime is 91072937. The next prime is 91072951. The reversal of 91072944 is 44927019.

It is an interprime number because it is at equal distance from previous prime (91072937) and next prime (91072951).

It is a super-2 number, since 2×91072944² = 16588562257654272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 91072899 and 91072908.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1144 + ... + 13544.

It is an arithmetic number, because the mean of its divisors is an integer number (3460158).

Almost surely, 2^91072944 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 91072944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138406320).

91072944 is an abundant number, since it is smaller than the sum of its proper divisors (185739696).

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

91072944 is a wasteful number, since it uses less digits than its factorization.

91072944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12435 (or 12423 counting only the distinct ones).

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

The square root of 91072944 is about 9543.2145527595. The cubic root of 91072944 is about 449.9142947891.

The spelling of 91072944 in words is "ninety-one million, seventy-two thousand, nine hundred forty-four".