7541632 has 64 divisors (see below), whose sum is σ = 18115200. Its totient is φ = 3055104.

The previous prime is 7541627. The next prime is 7541647. The reversal of 7541632 is 2361457.

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 (28).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 7541632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16803 + ... + 17245.

It is an arithmetic number, because the mean of its divisors is an integer number (283050).

Almost surely, 2^7541632 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 7541632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9057600).

7541632 is an abundant number, since it is smaller than the sum of its proper divisors (10573568).

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

7541632 is a wasteful number, since it uses less digits than its factorization.

7541632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 471 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 7541632 is about 2746.2031971433. The cubic root of 7541632 is about 196.1049001152.

The spelling of 7541632 in words is "seven million, five hundred forty-one thousand, six hundred thirty-two".