6912972 has 108 divisors (see below), whose sum is σ = 20593720. Its totient is φ = 2003760.

The previous prime is 6912967. The next prime is 6912977. The reversal of 6912972 is 2792196.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (6912967) and next prime (6912977).

It is a tau number, because it is divible by the number of its divisors (108).

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

Its product of digits (13608) is a multiple of the sum of its prime factors (81).

It is not an unprimeable number, because it can be changed into a prime (6912977) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 300553 + ... + 300575.

Almost surely, 2^6912972 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 6912972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10296860).

6912972 is an abundant number, since it is smaller than the sum of its proper divisors (13680748).

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

6912972 is a wasteful number, since it uses less digits than its factorization.

6912972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 39 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 6912972 is about 2629.2531258896. The cubic root of 6912972 is about 190.4970549486.

It can be divided in two parts, 6912 and 972, that multiplied together give a square (6718464 = 2592²).

The spelling of 6912972 in words is "six million, nine hundred twelve thousand, nine hundred seventy-two".