72628 has 12 divisors (see below), whose sum is σ = 129472. Its totient is φ = 35640.

The previous prime is 72623. The next prime is 72643. The reversal of 72628 is 82627.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72623) by changing a digit.

72628 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 133 + ... + 403.

2⁷²⁶²⁸ is an apocalyptic number.

It is an amenable number.

72628 is a deficient number, since it is larger than the sum of its proper divisors (56844).

72628 is a wasteful number, since it uses less digits than its factorization.

72628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 340 counting only the distinct ones).

The product of its digits is 1344, while the sum is 25.

The square root of 72628 is about 269.4958255706. The cubic root of 72628 is about 41.7222795178.

Subtracting 72628 from its reverse (82627), we obtain a palindrome (9999).

The spelling of 72628 in words is "seventy-two thousand, six hundred twenty-eight".