272624 has 20 divisors (see below), whose sum is σ = 576600. Its totient is φ = 123840.

The previous prime is 272621. The next prime is 272651. The reversal of 272624 is 426272.

Added to its reverse (426272) it gives a square (698896 = 836²).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 272624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 599 + ... + 950.

It is an arithmetic number, because the mean of its divisors is an integer number (28830).

2²⁷²⁶²⁴ is an apocalyptic number.

It is an amenable number.

272624 is an abundant number, since it is smaller than the sum of its proper divisors (303976).

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

272624 is a wasteful number, since it uses less digits than its factorization.

272624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1562 counting only the distinct ones).

The product of its digits is 1344, while the sum is 23.

The square root of 272624 is about 522.1340823965. The cubic root of 272624 is about 64.8417451889.

Adding to 272624 its reverse (426272), we get a palindrome (698896).

The spelling of 272624 in words is "two hundred seventy-two thousand, six hundred twenty-four".