916272000 has 640 divisors, whose sum is σ = 3927718080. Its totient is φ = 207360000.

The previous prime is 916271987. The next prime is 916272031. The reversal of 916272000 is 272619.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9071950 + ... + 9072050.

Almost surely, 2^916272000 is an apocalyptic number.

916272000 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 916272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963859040).

916272000 is an abundant number, since it is smaller than the sum of its proper divisors (3011446080).

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

916272000 is a wasteful number, since it uses less digits than its factorization.

916272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 916272000 is about 30269.9851337922. The cubic root of 916272000 is about 971.2733480769.

The spelling of 916272000 in words is "nine hundred sixteen million, two hundred seventy-two thousand".