7471872 has 144 divisors (see below), whose sum is σ = 23546880. Its totient is φ = 2331648.

The previous prime is 7471831. The next prime is 7471873. The reversal of 7471872 is 2781747.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (7471873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158953 + ... + 158999.

It is an arithmetic number, because the mean of its divisors is an integer number (163520).

Almost surely, 2^7471872 is an apocalyptic number.

7471872 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 7471872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11773440).

7471872 is an abundant number, since it is smaller than the sum of its proper divisors (16075008).

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

7471872 is a wasteful number, since it uses less digits than its factorization.

7471872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 75 counting only the distinct ones).

The product of its digits is 21952, while the sum is 36.

The square root of 7471872 is about 2733.4725167815. The cubic root of 7471872 is about 195.4983701785.

The spelling of 7471872 in words is "seven million, four hundred seventy-one thousand, eight hundred seventy-two".