7405632 has 168 divisors, whose sum is σ = 24408384. Its totient is φ = 2128896.

The previous prime is 7405627. The next prime is 7405633. The reversal of 7405632 is 2365047.

It is a happy number.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 7405596 and 7405605.

It is not an unprimeable number, because it can be changed into a prime (7405633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172203 + ... + 172245.

It is an arithmetic number, because the mean of its divisors is an integer number (145288).

Almost surely, 2^7405632 is an apocalyptic number.

7405632 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 7405632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12204192).

7405632 is an abundant number, since it is smaller than the sum of its proper divisors (17002752).

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

7405632 is a wasteful number, since it uses less digits than its factorization.

7405632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 7405632 is about 2721.3290870455. The cubic root of 7405632 is about 194.9189406682.

It can be divided in two parts, 74056 and 32, that added together give a cube (74088 = 42³).

The spelling of 7405632 in words is "seven million, four hundred five thousand, six hundred thirty-two".