7973532 has 96 divisors (see below), whose sum is σ = 24192000. Its totient is φ = 2223936.

The previous prime is 7973519. The next prime is 7973543. The reversal of 7973532 is 2353797.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a d-powerful number, because it can be written as 7⁶ + 9² + 7⁸ + 3⁵ + 5⁹ + 3⁸ + 2¹⁷ .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39969 + ... + 40167.

It is an arithmetic number, because the mean of its divisors is an integer number (252000).

Almost surely, 2^7973532 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 7973532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096000).

7973532 is an abundant number, since it is smaller than the sum of its proper divisors (16218468).

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

7973532 is a wasteful number, since it uses less digits than its factorization.

7973532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its digits is 39690, while the sum is 36.

The square root of 7973532 is about 2823.7443227035. The cubic root of 7973532 is about 199.7791896370.

The spelling of 7973532 in words is "seven million, nine hundred seventy-three thousand, five hundred thirty-two".