7142772 has 96 divisors (see below), whose sum is σ = 21274624. Its totient is φ = 1814400.

The previous prime is 7142749. The next prime is 7142783. The reversal of 7142772 is 2772417.

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 31 ways as a sum of consecutive naturals, for example, 33747 + ... + 33957.

Almost surely, 2^7142772 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 7142772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10637312).

7142772 is an abundant number, since it is smaller than the sum of its proper divisors (14131852).

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

7142772 is a wasteful number, since it uses less digits than its factorization.

7142772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 267 counting only the distinct ones).

The product of its digits is 5488, while the sum is 30.

The square root of 7142772 is about 2672.5964903068. The cubic root of 7142772 is about 192.5849133453.

It can be divided in two parts, 714 and 2772, that added together give a triangular number (3486 = T₈₃).

The spelling of 7142772 in words is "seven million, one hundred forty-two thousand, seven hundred seventy-two".