7452000 has 240 divisors, whose sum is σ = 28540512. Its totient is φ = 1900800.

The previous prime is 7451993. The next prime is 7452007. The reversal of 7452000 is 2547.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7451993) and next prime (7452007).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7452007) 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 39 ways as a sum of consecutive naturals, for example, 323989 + ... + 324011.

Almost surely, 2^7452000 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 7452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14270256).

7452000 is an abundant number, since it is smaller than the sum of its proper divisors (21088512).

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

7452000 is a wasteful number, since it uses less digits than its factorization.

7452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 7452000 is about 2729.8351598586. The cubic root of 7452000 is about 195.3249021458.

Adding to 7452000 its reverse (2547), we get a palindrome (7454547).

The spelling of 7452000 in words is "seven million, four hundred fifty-two thousand".