72642 has 8 divisors (see below), whose sum is σ = 145296. Its totient is φ = 24212.

The previous prime is 72623. The next prime is 72643. The reversal of 72642 is 24627.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

72642 is an admirable number.

It is an Ulam number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (72643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6048 + ... + 6059.

It is an arithmetic number, because the mean of its divisors is an integer number (18162).

2⁷²⁶⁴² is an apocalyptic number.

72642 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (72648).

72642 is a wasteful number, since it uses less digits than its factorization.

72642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12112.

The product of its digits is 672, while the sum is 21.

The square root of 72642 is about 269.5217987473. The cubic root of 72642 is about 41.7249601845.

The spelling of 72642 in words is "seventy-two thousand, six hundred forty-two".