96587072 has 56 divisors (see below), whose sum is σ = 200436480. Its totient is φ = 46126080.

The previous prime is 96587053. The next prime is 96587077. The reversal of 96587072 is 27078569.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96587077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176303 + ... + 176849.

Almost surely, 2^96587072 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 96587072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100218240).

96587072 is an abundant number, since it is smaller than the sum of its proper divisors (103849408).

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

96587072 is a wasteful number, since it uses less digits than its factorization.

96587072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 96587072 is about 9827.8722010413. The cubic root of 96587072 is about 458.8171753822.

The spelling of 96587072 in words is "ninety-six million, five hundred eighty-seven thousand, seventy-two".