93749472 has 72 divisors (see below), whose sum is σ = 278211024. Its totient is φ = 29889024.

The previous prime is 93749471. The next prime is 93749473. The reversal of 93749472 is 27494739.

93749472 is a `hidden beast` number, since 93 + 7 + 494 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (93749471) and next prime (93749473).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93749471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 453 + ... + 13700.

It is an arithmetic number, because the mean of its divisors is an integer number (3864042).

Almost surely, 2^93749472 is an apocalyptic number.

93749472 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93749472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139105512).

93749472 is an abundant number, since it is smaller than the sum of its proper divisors (184461552).

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

93749472 is a wasteful number, since it uses less digits than its factorization.

93749472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14192 (or 14181 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 93749472 is about 9682.4310996774. The cubic root of 93749472 is about 454.2792953712.

The spelling of 93749472 in words is "ninety-three million, seven hundred forty-nine thousand, four hundred seventy-two".