7413552 has 60 divisors (see below), whose sum is σ = 21443320. Its totient is φ = 2452320.

The previous prime is 7413551. The next prime is 7413559. The reversal of 7413552 is 2553147.

It is a happy number.

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 super-3 number, since 3×7413552³ (a number of 22 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (7413551) 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 11 ways as a sum of consecutive naturals, for example, 56527 + ... + 56657.

Almost surely, 2^7413552 is an apocalyptic number.

7413552 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 7413552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10721660).

7413552 is an abundant number, since it is smaller than the sum of its proper divisors (14029768).

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

7413552 is a wasteful number, since it uses less digits than its factorization.

7413552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 136 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 7413552 is about 2722.7838694983. The cubic root of 7413552 is about 194.9884016770.

Multiplying 7413552 by its sum of digits (27), we get a square (200165904 = 14148²).

7413552 divided by its sum of digits (27) gives a square (274576 = 524²).

Adding to 7413552 its reverse (2553147), we get a palindrome (9966699).

The spelling of 7413552 in words is "seven million, four hundred thirteen thousand, five hundred fifty-two".