7267632 has 80 divisors (see below), whose sum is σ = 20355840. Its totient is φ = 2227456.

The previous prime is 7267627. The next prime is 7267639. The reversal of 7267632 is 2367627.

7267632 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 7267593 and 7267602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7267639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31903 + ... + 32129.

It is an arithmetic number, because the mean of its divisors is an integer number (254448).

Almost surely, 2^7267632 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 7267632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10177920).

7267632 is an abundant number, since it is smaller than the sum of its proper divisors (13088208).

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

7267632 is a wasteful number, since it uses less digits than its factorization.

7267632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 284 counting only the distinct ones).

The product of its digits is 21168, while the sum is 33.

The square root of 7267632 is about 2695.8545954854. The cubic root of 7267632 is about 193.7006045429.

The spelling of 7267632 in words is "seven million, two hundred sixty-seven thousand, six hundred thirty-two".