7126272 has 72 divisors (see below), whose sum is σ = 21094080. Its totient is φ = 2373120.

The previous prime is 7126253. The next prime is 7126277. The reversal of 7126272 is 2726217.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7126277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6397 + ... + 7427.

Almost surely, 2^7126272 is an apocalyptic number.

7126272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7126272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10547040).

7126272 is an abundant number, since it is smaller than the sum of its proper divisors (13967808).

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

7126272 is a wasteful number, since it uses less digits than its factorization.

7126272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1036 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 7126272 is about 2669.5078198050. The cubic root of 7126272 is about 192.4365068613.

The spelling of 7126272 in words is "seven million, one hundred twenty-six thousand, two hundred seventy-two".