72407 has 4 divisors (see below), whose sum is σ = 73656. Its totient is φ = 71160.

The previous prime is 72383. The next prime is 72421. The reversal of 72407 is 70427.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 70427 = 7 ⋅10061.

It is a cyclic number.

It is not a de Polignac number, because 72407 - 2¹² = 68311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72467) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 533 + ... + 654.

It is an arithmetic number, because the mean of its divisors is an integer number (18414).

2⁷²⁴⁰⁷ is an apocalyptic number.

72407 is a deficient number, since it is larger than the sum of its proper divisors (1249).

72407 is a wasteful number, since it uses less digits than its factorization.

72407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248.

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 72407 is about 269.0854882746. The cubic root of 72407 is about 41.6799175633.

Adding to 72407 its sum of digits (20), we get a palindrome (72427).

The spelling of 72407 in words is "seventy-two thousand, four hundred seven", and thus it is an iban number.