93414272 has 64 divisors (see below), whose sum is σ = 214518240. Its totient is φ = 39690240.

The previous prime is 93414271. The next prime is 93414301. The reversal of 93414272 is 27241439.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93414271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122372 + ... + 123132.

Almost surely, 2^93414272 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 93414272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107259120).

93414272 is an abundant number, since it is smaller than the sum of its proper divisors (121103968).

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

93414272 is a wasteful number, since it uses less digits than its factorization.

93414272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 907 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 93414272 is about 9665.1058969884. The cubic root of 93414272 is about 453.7372255939.

The spelling of 93414272 in words is "ninety-three million, four hundred fourteen thousand, two hundred seventy-two".