93772 has 24 divisors (see below), whose sum is σ = 199584. Its totient is φ = 37632.

The previous prime is 93763. The next prime is 93787. The reversal of 93772 is 27739.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 93772.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378 + ... + 574.

It is an arithmetic number, because the mean of its divisors is an integer number (8316).

2⁹³⁷⁷² 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 93772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99792).

93772 is an abundant number, since it is smaller than the sum of its proper divisors (105812).

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

93772 is a wasteful number, since it uses less digits than its factorization.

93772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 223 counting only the distinct ones).

The product of its digits is 2646, while the sum is 28.

The square root of 93772 is about 306.2221415901. Note that the first 3 decimals coincide. The cubic root of 93772 is about 45.4315680231.

The spelling of 93772 in words is "ninety-three thousand, seven hundred seventy-two".