7347672 has 160 divisors (see below), whose sum is σ = 23522400. Its totient is φ = 2128896.

The previous prime is 7347667. The next prime is 7347709. The reversal of 7347672 is 2767437.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 253354 + ... + 253382.

It is an arithmetic number, because the mean of its divisors is an integer number (147015).

Almost surely, 2^7347672 is an apocalyptic number.

7347672 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 7347672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11761200).

7347672 is an abundant number, since it is smaller than the sum of its proper divisors (16174728).

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

7347672 is a wasteful number, since it uses less digits than its factorization.

7347672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 74 counting only the distinct ones).

The product of its digits is 49392, while the sum is 36.

The square root of 7347672 is about 2710.6589604744. The cubic root of 7347672 is about 194.4090987968.

The spelling of 7347672 in words is "seven million, three hundred forty-seven thousand, six hundred seventy-two".