93967272 has 96 divisors (see below), whose sum is σ = 298771200. Its totient is φ = 26116992.

The previous prime is 93967271. The next prime is 93967273. The reversal of 93967272 is 27276939.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (93967271) and next prime (93967273).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (93967271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16129 + ... + 21167.

It is an arithmetic number, because the mean of its divisors is an integer number (3112200).

Almost surely, 2^93967272 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 93967272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149385600).

93967272 is an abundant number, since it is smaller than the sum of its proper divisors (204803928).

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

93967272 is a wasteful number, since it uses less digits than its factorization.

93967272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5095 (or 5088 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 93967272 is about 9693.6717501677. The cubic root of 93967272 is about 454.6308191576.

The spelling of 93967272 in words is "ninety-three million, nine hundred sixty-seven thousand, two hundred seventy-two".