96795972 has 240 divisors, whose sum is σ = 322537600. Its totient is φ = 25147584.

The previous prime is 96795953. The next prime is 96795991. The reversal of 96795972 is 27959769.

It is an interprime number because it is at equal distance from previous prime (96795953) and next prime (96795991).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1444683 + ... + 1444749.

Almost surely, 2^96795972 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 96795972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161268800).

96795972 is an abundant number, since it is smaller than the sum of its proper divisors (225741628).

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

96795972 is a wasteful number, since it uses less digits than its factorization.

96795972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 92 counting only the distinct ones).

The product of its digits is 2143260, while the sum is 54.

The square root of 96795972 is about 9838.4943970101. The cubic root of 96795972 is about 459.1477161373.

It can be divided in two parts, 9679 and 5972, that added together give a palindrome (15651).

The spelling of 96795972 in words is "ninety-six million, seven hundred ninety-five thousand, nine hundred seventy-two".