7126128 has 120 divisors (see below), whose sum is σ = 21936096. Its totient is φ = 2150400.

The previous prime is 7126127. The next prime is 7126153. The reversal of 7126128 is 8216217.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7126123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100333 + ... + 100403.

Almost surely, 2^7126128 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 7126128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10968048).

7126128 is an abundant number, since it is smaller than the sum of its proper divisors (14809968).

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

7126128 is a wasteful number, since it uses less digits than its factorization.

7126128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 134 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 7126128 is about 2669.4808484048. The cubic root of 7126128 is about 192.4352106696.

It can be divided in two parts, 71261 and 28, that added together give a square (71289 = 267²).

The spelling of 7126128 in words is "seven million, one hundred twenty-six thousand, one hundred twenty-eight".