8273772 has 96 divisors (see below), whose sum is σ = 23708160. Its totient is φ = 2479680.

The previous prime is 8273761. The next prime is 8273773. The reversal of 8273772 is 2773728.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (8273773) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99643 + ... + 99725.

It is an arithmetic number, because the mean of its divisors is an integer number (246960).

Almost surely, 2^8273772 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 8273772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11854080).

8273772 is an abundant number, since it is smaller than the sum of its proper divisors (15434388).

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

8273772 is a wasteful number, since it uses less digits than its factorization.

8273772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 8273772 is about 2876.4165206034. The cubic root of 8273772 is about 202.2558924109.

It can be divided in two parts, 8273 and 772, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 8273772 in words is "eight million, two hundred seventy-three thousand, seven hundred seventy-two".