7483392 has 156 divisors (see below), whose sum is σ = 25555920. Its totient is φ = 2064384.

The previous prime is 7483391. The next prime is 7483403. The reversal of 7483392 is 2933847.

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a d-powerful number, because it can be written as 7⁶ + 4⁴ + 8⁷ + 3¹¹ + 3¹¹ + 9⁷ + 2¹⁷ .

It is not an unprimeable number, because it can be changed into a prime (7483391) 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, 258034 + ... + 258062.

It is an arithmetic number, because the mean of its divisors is an integer number (163820).

Almost surely, 2^7483392 is an apocalyptic number.

7483392 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 7483392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12777960).

7483392 is an abundant number, since it is smaller than the sum of its proper divisors (18072528).

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

7483392 is a wasteful number, since it uses less digits than its factorization.

7483392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 41 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 7483392 is about 2735.5789149648. The cubic root of 7483392 is about 195.5987905630.

It can be divided in two parts, 7483 and 392, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 7483392 in words is "seven million, four hundred eighty-three thousand, three hundred ninety-two".