96072405 has 32 divisors (see below), whose sum is σ = 180593280. Its totient is φ = 42996480.

The previous prime is 96072397. The next prime is 96072407. The reversal of 96072405 is 50427069.

It is not a de Polignac number, because 96072405 - 2³ = 96072397 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96072407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20250 + ... + 24539.

It is an arithmetic number, because the mean of its divisors is an integer number (5643540).

Almost surely, 2^96072405 is an apocalyptic number.

It is an amenable number.

96072405 is a deficient number, since it is larger than the sum of its proper divisors (84520875).

96072405 is a wasteful number, since it uses less digits than its factorization.

96072405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44821.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 96072405 is about 9801.6531768881. The cubic root of 96072405 is about 458.0007834188. Note that the first 3 decimals are identical.

The spelling of 96072405 in words is "ninety-six million, seventy-two thousand, four hundred five".