72637 has 4 divisors (see below), whose sum is σ = 76480. Its totient is φ = 68796.

The previous prime is 72623. The next prime is 72643. The reversal of 72637 is 73627.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 72637 - 2¹¹ = 70589 is a prime.

It is a super-2 number, since 2×72637² = 10552267538, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72637.

It is not an unprimeable number, because it can be changed into a prime (72617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1893 + ... + 1930.

It is an arithmetic number, because the mean of its divisors is an integer number (19120).

2⁷²⁶³⁷ is an apocalyptic number.

It is an amenable number.

72637 is a deficient number, since it is larger than the sum of its proper divisors (3843).

72637 is a wasteful number, since it uses less digits than its factorization.

72637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842.

The product of its digits is 1764, while the sum is 25.

The square root of 72637 is about 269.5125229001. The cubic root of 72637 is about 41.7240028431.

Subtracting 72637 from its reverse (73627), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 726 and 37, that multiplied together give a palindrome (26862).

The spelling of 72637 in words is "seventy-two thousand, six hundred thirty-seven".