102072216 has 64 divisors (see below), whose sum is σ = 272976480. Its totient is φ = 31692800.

The previous prime is 102072197. The next prime is 102072221. The reversal of 102072216 is 612270201.

It is a junction number, because it is equal to n+sod(n) for n = 102072192 and 102072201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39970 + ... + 42446.

Almost surely, 2^102072216 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 102072216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136488240).

102072216 is an abundant number, since it is smaller than the sum of its proper divisors (170904264).

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

102072216 is a wasteful number, since it uses less digits than its factorization.

102072216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 102072216 is about 10103.0795305194. The cubic root of 102072216 is about 467.3431137807.

The spelling of 102072216 in words is "one hundred two million, seventy-two thousand, two hundred sixteen".