6742872 has 128 divisors (see below), whose sum is σ = 20736000. Its totient is φ = 2021760.

The previous prime is 6742859. The next prime is 6742889. The reversal of 6742872 is 2782476.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 6⁸ + 7⁴ + 4¹¹ + 2¹¹ + 8⁵ + 7⁷ + 2¹³ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127198 + ... + 127250.

It is an arithmetic number, because the mean of its divisors is an integer number (162000).

Almost surely, 2^6742872 is an apocalyptic number.

6742872 is a gapful number since it is divisible by the number (62) 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 6742872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10368000).

6742872 is an abundant number, since it is smaller than the sum of its proper divisors (13993128).

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

6742872 is a wasteful number, since it uses less digits than its factorization.

6742872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 108 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 6742872 is about 2596.7040647713. The cubic root of 6742872 is about 188.9216102227.

The spelling of 6742872 in words is "six million, seven hundred forty-two thousand, eight hundred seventy-two".