96972216 has 192 divisors, whose sum is σ = 297077760. Its totient is φ = 26112000.

The previous prime is 96972203. The next prime is 96972229. The reversal of 96972216 is 61227969.

It is an interprime number because it is at equal distance from previous prime (96972203) and next prime (96972229).

It is a super-2 number, since 2×96972216² = 18807221351901312, which contains 22 as substring.

Its product of digits (81648) is a multiple of the sum of its prime factors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2365156 + ... + 2365196.

It is an arithmetic number, because the mean of its divisors is an integer number (1547280).

Almost surely, 2^96972216 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 96972216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148538880).

96972216 is an abundant number, since it is smaller than the sum of its proper divisors (200105544).

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

96972216 is a wasteful number, since it uses less digits than its factorization.

96972216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 105 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 96972216 is about 9847.4471818842. The cubic root of 96972216 is about 459.4262159011.

The spelling of 96972216 in words is "ninety-six million, nine hundred seventy-two thousand, two hundred sixteen".