7472736 has 108 divisors (see below), whose sum is σ = 22771476. Its totient is φ = 2410560.

The previous prime is 7472693. The next prime is 7472737. The reversal of 7472736 is 6372747.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a d-powerful number, because it can be written as 7³ + 4⁶ + 7⁵ + 2⁹ + 7⁸ + 3⁸ + 6⁸ .

Its product of digits (49392) is a multiple of the sum of its prime divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 7472736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7472737) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 241041 + ... + 241071.

It is an arithmetic number, because the mean of its divisors is an integer number (210847).

Almost surely, 2^7472736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7472736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11385738).

7472736 is an abundant number, since it is smaller than the sum of its proper divisors (15298740).

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

7472736 is an equidigital number, since it uses as much as digits as its factorization.

7472736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 36 counting only the distinct ones).

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

The square root of 7472736 is about 2733.6305529460. The cubic root of 7472736 is about 195.5059052862.

The spelling of 7472736 in words is "seven million, four hundred seventy-two thousand, seven hundred thirty-six".