72632 has 16 divisors (see below), whose sum is σ = 155760. Its totient is φ = 31104.

The previous prime is 72623. The next prime is 72643. The reversal of 72632 is 23627.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 593 + ... + 704.

It is an arithmetic number, because the mean of its divisors is an integer number (9735).

2⁷²⁶³² is an apocalyptic number.

It is an amenable number.

72632 is an abundant number, since it is smaller than the sum of its proper divisors (83128).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77880).

72632 is a wasteful number, since it uses less digits than its factorization.

72632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1306 counting only the distinct ones).

The product of its digits is 504, while the sum is 20.

The square root of 72632 is about 269.5032467337. The cubic root of 72632 is about 41.7230454577.

It can be divided in two parts, 726 and 32, that multiplied together give a palindrome (23232).

The spelling of 72632 in words is "seventy-two thousand, six hundred thirty-two".