96432072 has 64 divisors (see below), whose sum is σ = 271503360. Its totient is φ = 28276800.

The previous prime is 96432071. The next prime is 96432121. The reversal of 96432072 is 27023469.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (96432071) 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, 2293 + ... + 14075.

It is an arithmetic number, because the mean of its divisors is an integer number (4242240).

Almost surely, 2^96432072 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 96432072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135751680).

96432072 is an abundant number, since it is smaller than the sum of its proper divisors (175071288).

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

96432072 is a wasteful number, since it uses less digits than its factorization.

96432072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11834 (or 11830 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 96432072 is about 9819.9832993748. The cubic root of 96432072 is about 458.5716120212.

The spelling of 96432072 in words is "ninety-six million, four hundred thirty-two thousand, seventy-two".