921096072 has 96 divisors (see below), whose sum is σ = 2691987480. Its totient is φ = 282839040.

The previous prime is 921096067. The next prime is 921096103. The reversal of 921096072 is 270690129.

It can be written as a sum of positive squares in 4 ways, for example, as 226984356 + 694111716 = 15066^2 + 26346^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 824058 + ... + 825174.

Almost surely, 2^921096072 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 921096072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345993740).

921096072 is an abundant number, since it is smaller than the sum of its proper divisors (1770891408).

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

921096072 is a wasteful number, since it uses less digits than its factorization.

921096072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 921096072 is about 30349.5646097271. The cubic root of 921096072 is about 972.9749147374.

The spelling of 921096072 in words is "nine hundred twenty-one million, ninety-six thousand, seventy-two".