7006272 has 112 divisors (see below), whose sum is σ = 22872192. Its totient is φ = 1843200.

The previous prime is 7006247. The next prime is 7006289. The reversal of 7006272 is 2726007.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17272 + ... + 17672.

It is an arithmetic number, because the mean of its divisors is an integer number (204216).

Almost surely, 2^7006272 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 7006272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11436096).

7006272 is an abundant number, since it is smaller than the sum of its proper divisors (15865920).

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

7006272 is a wasteful number, since it uses less digits than its factorization.

7006272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 7006272 is about 2646.9363422644. The cubic root of 7006272 is about 191.3502341000.

The spelling of 7006272 in words is "seven million, six thousand, two hundred seventy-two".