7672032 has 72 divisors (see below), whose sum is σ = 23115456. Its totient is φ = 2405376.

The previous prime is 7672019. The next prime is 7672033. The reversal of 7672032 is 2302767.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 7671987 and 7672005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7672033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4113 + ... + 5679.

It is an arithmetic number, because the mean of its divisors is an integer number (321048).

Almost surely, 2^7672032 is an apocalyptic number.

7672032 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 7672032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11557728).

7672032 is an abundant number, since it is smaller than the sum of its proper divisors (15443424).

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

7672032 is a wasteful number, since it uses less digits than its factorization.

7672032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1589 counting only the distinct ones).

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

The square root of 7672032 is about 2769.8433168683. The cubic root of 7672032 is about 197.2287104686.

Adding to 7672032 its reverse (2302767), we get a palindrome (9974799).

The spelling of 7672032 in words is "seven million, six hundred seventy-two thousand, thirty-two".