7835472 has 30 divisors (see below), whose sum is σ = 21928842. Its totient is φ = 2611776.

The previous prime is 7835461. The next prime is 7835483. The reversal of 7835472 is 2745387.

7835472 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7835461) and next prime (7835483).

It can be written as a sum of positive squares in only one way, i.e., 6843456 + 992016 = 2616^2 + 996^2 .

It is a super-2 number, since 2×7835472² = 122789242925568, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27063 + ... + 27350.

Almost surely, 2^7835472 is an apocalyptic number.

7835472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7835472 is an abundant number, since it is smaller than the sum of its proper divisors (14093370).

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

7835472 is a wasteful number, since it uses less digits than its factorization.

7835472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54427 (or 54418 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 7835472 is about 2799.1913117899. The cubic root of 7835472 is about 198.6194253292.

The spelling of 7835472 in words is "seven million, eight hundred thirty-five thousand, four hundred seventy-two".