99965712 has 320 divisors, whose sum is σ = 358262784. Its totient is φ = 23224320.

The previous prime is 99965683. The next prime is 99965737. The reversal of 99965712 is 21756999.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (306180) is a multiple of the sum of its prime factors (126).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2324763 + ... + 2324805.

Almost surely, 2^99965712 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 99965712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179131392).

99965712 is an abundant number, since it is smaller than the sum of its proper divisors (258297072).

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

99965712 is a wasteful number, since it uses less digits than its factorization.

99965712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 120 counting only the distinct ones).

The product of its digits is 306180, while the sum is 48.

The square root of 99965712 is about 9998.2854530164. The cubic root of 99965712 is about 464.1058270309.

The spelling of 99965712 in words is "ninety-nine million, nine hundred sixty-five thousand, seven hundred twelve".