6747972 has 96 divisors (see below), whose sum is σ = 20106240. Its totient is φ = 1710720.

The previous prime is 6747971. The next prime is 6747973. The reversal of 6747972 is 2797476.

It is an interprime number because it is at equal distance from previous prime (6747971) and next prime (6747973).

It is a super-2 number, since 2×6747972² = 91070252225568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (6747971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61854 + ... + 61962.

It is an arithmetic number, because the mean of its divisors is an integer number (209440).

Almost surely, 2^6747972 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 6747972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10053120).

6747972 is an abundant number, since it is smaller than the sum of its proper divisors (13358268).

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

6747972 is a wasteful number, since it uses less digits than its factorization.

6747972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 199 counting only the distinct ones).

The product of its digits is 148176, while the sum is 42.

The square root of 6747972 is about 2597.6858932519. The cubic root of 6747972 is about 188.9692287744.

It can be divided in two parts, 674 and 7972, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 6747972 in words is "six million, seven hundred forty-seven thousand, nine hundred seventy-two".