72621 has 6 divisors (see below), whose sum is σ = 104910. Its totient is φ = 48408.

The previous prime is 72617. The next prime is 72623. The reversal of 72621 is 12627.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 38025 + 34596 = 195^2 + 186^2 .

It is not a de Polignac number, because 72621 - 2² = 72617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72594 and 72603.

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 72621.

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

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4026 + ... + 4043.

It is an arithmetic number, because the mean of its divisors is an integer number (17485).

2⁷²⁶²¹ is an apocalyptic number.

It is an amenable number.

72621 is a deficient number, since it is larger than the sum of its proper divisors (32289).

72621 is a wasteful number, since it uses less digits than its factorization.

72621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8075 (or 8072 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 72621 is about 269.4828380435. The cubic root of 72621 is about 41.7209390553.

It can be divided in two parts, 726 and 21, that added together give a palindrome (747).

The spelling of 72621 in words is "seventy-two thousand, six hundred twenty-one".