7493472 has 180 divisors, whose sum is σ = 26070660. Its totient is φ = 2104704.

The previous prime is 7493471. The next prime is 7493491. The reversal of 7493472 is 2743947.

It is a super-2 number, since 2×7493472² = 112304245229568, which contains 22 as substring.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7493471) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 126979 + ... + 127037.

It is an arithmetic number, because the mean of its divisors is an integer number (144837).

Almost surely, 2^7493472 is an apocalyptic number.

7493472 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 7493472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13035330).

7493472 is an abundant number, since it is smaller than the sum of its proper divisors (18577188).

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

7493472 is a wasteful number, since it uses less digits than its factorization.

7493472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 71 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 7493472 is about 2737.4206837825. The cubic root of 7493472 is about 195.6865738934.

The spelling of 7493472 in words is "seven million, four hundred ninety-three thousand, four hundred seventy-two".