216072600 has 96 divisors (see below), whose sum is σ = 687999120. Its totient is φ = 56056320.

The previous prime is 216072587. The next prime is 216072643. The reversal of 216072600 is 6270612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17334 + ... + 27066.

Almost surely, 2^216072600 is an apocalyptic number.

216072600 is a gapful number since it is divisible by the number (20) 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 216072600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343999560).

216072600 is an abundant number, since it is smaller than the sum of its proper divisors (471926520).

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

216072600 is a wasteful number, since it uses less digits than its factorization.

216072600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9789 (or 9780 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 216072600 is about 14699.4081513509. The cubic root of 216072600 is about 600.0672146922.

The spelling of 216072600 in words is "two hundred sixteen million, seventy-two thousand, six hundred".