6906272 has 48 divisors (see below), whose sum is σ = 14747040. Its totient is φ = 3172608.

The previous prime is 6906269. The next prime is 6906283. The reversal of 6906272 is 2726096.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22343 + ... + 22649.

It is an arithmetic number, because the mean of its divisors is an integer number (307230).

Almost surely, 2^6906272 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 6906272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7373520).

6906272 is an abundant number, since it is smaller than the sum of its proper divisors (7840768).

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

6906272 is a wasteful number, since it uses less digits than its factorization.

6906272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 6906272 is about 2627.9786909334. The cubic root of 6906272 is about 190.4354922889.

The spelling of 6906272 in words is "six million, nine hundred six thousand, two hundred seventy-two".