7632072 has 96 divisors (see below), whose sum is σ = 24897600. Its totient is φ = 2063232.

The previous prime is 7632059. The next prime is 7632083. The reversal of 7632072 is 2702367.

It is a super-3 number, since 3×7632072³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9178 + ... + 9974.

It is an arithmetic number, because the mean of its divisors is an integer number (259350).

Almost surely, 2^7632072 is an apocalyptic number.

7632072 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 7632072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12448800).

7632072 is an abundant number, since it is smaller than the sum of its proper divisors (17265528).

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

7632072 is a wasteful number, since it uses less digits than its factorization.

7632072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 7632072 is about 2762.6204951097. The cubic root of 7632072 is about 196.8856904248.

The spelling of 7632072 in words is "seven million, six hundred thirty-two thousand, seventy-two".