7075872 has 72 divisors (see below), whose sum is σ = 20442240. Its totient is φ = 2321280.

The previous prime is 7075867. The next prime is 7075877. The reversal of 7075872 is 2785707.

7075872 is a `hidden beast` number, since 70 + 7 + 587 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (7075867) and next prime (7075877).

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 (36).

It is not an unprimeable number, because it can be changed into a prime (7075877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22597 + ... + 22907.

It is an arithmetic number, because the mean of its divisors is an integer number (283920).

Almost surely, 2^7075872 is an apocalyptic number.

7075872 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 7075872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10221120).

7075872 is an abundant number, since it is smaller than the sum of its proper divisors (13366368).

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

7075872 is a wasteful number, since it uses less digits than its factorization.

7075872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 7075872 is about 2660.0511273282. The cubic root of 7075872 is about 191.9817691023.

The spelling of 7075872 in words is "seven million, seventy-five thousand, eight hundred seventy-two".