93144672 has 36 divisors (see below), whose sum is σ = 264880980. Its totient is φ = 31048128.

The previous prime is 93144629. The next prime is 93144679. The reversal of 93144672 is 27644139.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93144679) 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 5 ways as a sum of consecutive naturals, for example, 161422 + ... + 161997.

It is an arithmetic number, because the mean of its divisors is an integer number (7357805).

Almost surely, 2^93144672 is an apocalyptic number.

It is an amenable number.

93144672 is an abundant number, since it is smaller than the sum of its proper divisors (171736308).

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

93144672 is a wasteful number, since it uses less digits than its factorization.

93144672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323435 (or 323424 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 93144672 is about 9651.1487399169. The cubic root of 93144672 is about 453.3002993999.

The spelling of 93144672 in words is "ninety-three million, one hundred forty-four thousand, six hundred seventy-two".