9272466000 has 360 divisors, whose sum is σ = 37676666664. Its totient is φ = 2119219200.

The previous prime is 9272465989. The next prime is 9272466011. The reversal of 9272466000 is 6642729.

It is a happy number.

9272466000 is a `hidden beast` number, since 9 + 2 + 7 + 2 + 46 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9272465989) and next prime (9272466011).

It can be written as a sum of positive squares in 4 ways, for example, as 2944581696 + 6327884304 = 54264^2 + 79548^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 876744 + ... + 887256.

Almost surely, 2^9272466000 is an apocalyptic number.

9272466000 is a gapful number since it is divisible by the number (90) 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 9272466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18838333332).

9272466000 is an abundant number, since it is smaller than the sum of its proper divisors (28404200664).

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

9272466000 is a wasteful number, since it uses less digits than its factorization.

9272466000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10556 (or 10530 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 9272466000 is about 96293.6446501014. The cubic root of 9272466000 is about 2100.8663092405.

The spelling of 9272466000 in words is "nine billion, two hundred seventy-two million, four hundred sixty-six thousand".