72472 has 8 divisors (see below), whose sum is σ = 135900. Its totient is φ = 36232.

The previous prime is 72469. The next prime is 72481. The reversal of 72472 is 27427.

72472 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (8).

72472 is an undulating number in base 11.

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 4522 + ... + 4537.

2⁷²⁴⁷² is an apocalyptic number.

It is an amenable number.

72472 is a deficient number, since it is larger than the sum of its proper divisors (63428).

72472 is a wasteful number, since it uses less digits than its factorization.

72472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9065 (or 9061 counting only the distinct ones).

The product of its digits is 784, while the sum is 22.

The square root of 72472 is about 269.2062406409. The cubic root of 72472 is about 41.6923858990.

Adding to 72472 its reverse (27427), we get a palindrome (99899).

The spelling of 72472 in words is "seventy-two thousand, four hundred seventy-two", and thus it is an iban number.