72410 has 16 divisors (see below), whose sum is σ = 140616. Its totient is φ = 26688.

The previous prime is 72383. The next prime is 72421. The reversal of 72410 is 1427.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 27889 + 44521 = 167^2 + 211^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149 + ... + 408.

2⁷²⁴¹⁰ is an apocalyptic number.

72410 is a deficient number, since it is larger than the sum of its proper divisors (68206).

72410 is a wasteful number, since it uses less digits than its factorization.

72410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577.

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 72410 is about 269.0910626535. The cubic root of 72410 is about 41.6804931891.

Adding to 72410 its reverse (1427), we get a palindrome (73837).

The spelling of 72410 in words is "seventy-two thousand, four hundred ten", and thus it is an iban number.