216673272 has 64 divisors (see below), whose sum is σ = 607776000. Its totient is φ = 71515872.

The previous prime is 216673253. The next prime is 216673273. The reversal of 216673272 is 272376612.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216673273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17379 + ... + 27117.

It is an arithmetic number, because the mean of its divisors is an integer number (9496500).

Almost surely, 2^216673272 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 216673272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303888000).

216673272 is an abundant number, since it is smaller than the sum of its proper divisors (391102728).

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

216673272 is a wasteful number, since it uses less digits than its factorization.

216673272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9857 (or 9847 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 216673272 is about 14719.8258141868. The cubic root of 216673272 is about 600.6227534067.

The spelling of 216673272 in words is "two hundred sixteen million, six hundred seventy-three thousand, two hundred seventy-two".