8742272 has 64 divisors (see below), whose sum is σ = 21738240. Its totient is φ = 3402240.

The previous prime is 8742263. The next prime is 8742313. The reversal of 8742272 is 2722478.

It is a happy number.

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

It is a congruent number.

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, 9413 + ... + 10299.

It is an arithmetic number, because the mean of its divisors is an integer number (339660).

Almost surely, 2^8742272 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 8742272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10869120).

8742272 is an abundant number, since it is smaller than the sum of its proper divisors (12995968).

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

8742272 is a wasteful number, since it uses less digits than its factorization.

8742272 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 12544, while the sum is 32.

The square root of 8742272 is about 2956.7333325818. The cubic root of 8742272 is about 206.0035818022.

The spelling of 8742272 in words is "eight million, seven hundred forty-two thousand, two hundred seventy-two".