7121772 has 72 divisors (see below), whose sum is σ = 20966400. Its totient is φ = 1996128.

The previous prime is 7121767. The next prime is 7121773. The reversal of 7121772 is 2771217.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7121773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14629 + ... + 15107.

It is an arithmetic number, because the mean of its divisors is an integer number (291200).

Almost surely, 2^7121772 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 7121772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10483200).

7121772 is an abundant number, since it is smaller than the sum of its proper divisors (13844628).

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

7121772 is a wasteful number, since it uses less digits than its factorization.

7121772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 550 counting only the distinct ones).

The product of its digits is 1372, while the sum is 27.

The square root of 7121772 is about 2668.6648347067. The cubic root of 7121772 is about 192.3959926148.

Adding to 7121772 its reverse (2771217), we get a palindrome (9892989).

It can be divided in two parts, 71217 and 72, that added together give a square (71289 = 267²).

The spelling of 7121772 in words is "seven million, one hundred twenty-one thousand, seven hundred seventy-two".