7472000 has 64 divisors (see below), whose sum is σ = 18617040. Its totient is φ = 2982400.

The previous prime is 7471999. The next prime is 7472011. The reversal of 7472000 is 2747.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15767 + ... + 16233.

Almost surely, 2^7472000 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 7472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9308520).

7472000 is an abundant number, since it is smaller than the sum of its proper divisors (11145040).

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

7472000 is an equidigital number, since it uses as much as digits as its factorization.

7472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 7472000 is about 2733.4959301232. The cubic root of 7472000 is about 195.4994865274.

Adding to 7472000 its reverse (2747), we get a palindrome (7474747).

The spelling of 7472000 in words is "seven million, four hundred seventy-two thousand".