7842672 has 60 divisors (see below), whose sum is σ = 22197240. Its totient is φ = 2584704.

The previous prime is 7842643. The next prime is 7842677. The reversal of 7842672 is 2762487.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7842677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15154 + ... + 15662.

It is an arithmetic number, because the mean of its divisors is an integer number (369954).

Almost surely, 2^7842672 is an apocalyptic number.

7842672 is a gapful number since it is divisible by the number (72) 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 7842672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11098620).

7842672 is an abundant number, since it is smaller than the sum of its proper divisors (14354568).

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

7842672 is a wasteful number, since it uses less digits than its factorization.

7842672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 621 counting only the distinct ones).

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

The square root of 7842672 is about 2800.4771022096. The cubic root of 7842672 is about 198.6802437057.

The spelling of 7842672 in words is "seven million, eight hundred forty-two thousand, six hundred seventy-two".