7251552 has 192 divisors, whose sum is σ = 26611200. Its totient is φ = 1866240.

The previous prime is 7251529. The next prime is 7251557. The reversal of 7251552 is 2551527.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7251557) 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 31 ways as a sum of consecutive naturals, for example, 66474 + ... + 66582.

It is an arithmetic number, because the mean of its divisors is an integer number (138600).

Almost surely, 2^7251552 is an apocalyptic number.

7251552 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 7251552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13305600).

7251552 is an abundant number, since it is smaller than the sum of its proper divisors (19359648).

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

7251552 is a wasteful number, since it uses less digits than its factorization.

7251552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 132 counting only the distinct ones).

The product of its digits is 3500, while the sum is 27.

The square root of 7251552 is about 2692.8705873101. The cubic root of 7251552 is about 193.5576416220.

The spelling of 7251552 in words is "seven million, two hundred fifty-one thousand, five hundred fifty-two".