6721575 has 72 divisors (see below), whose sum is σ = 13570560. Its totient is φ = 2923200.

The previous prime is 6721571. The next prime is 6721577. The reversal of 6721575 is 5751276.

It is not a de Polignac number, because 6721575 - 2² = 6721571 is a prime.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (14700) is a multiple of the sum of its prime divisors (105).

6721575 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6721571) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 113896 + ... + 113954.

It is an arithmetic number, because the mean of its divisors is an integer number (188480).

Almost surely, 2^6721575 is an apocalyptic number.

6721575 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

6721575 is a wasteful number, since it uses less digits than its factorization.

6721575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 105 counting only the distinct ones).

The product of its digits is 14700, while the sum is 33.

The square root of 6721575 is about 2592.6000462856. The cubic root of 6721575 is about 188.7225008547.

Subtracting from 6721575 its reverse (5751276), we obtain a cube (970299 = 99³).

The spelling of 6721575 in words is "six million, seven hundred twenty-one thousand, five hundred seventy-five".