72463 has 4 divisors (see below), whose sum is σ = 73008. Its totient is φ = 71920.

The previous prime is 72461. The next prime is 72467. The reversal of 72463 is 36427.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 36427 = 73 ⋅499.

It is a cyclic number.

It is not a de Polignac number, because 72463 - 2¹ = 72461 is a prime.

It is a Duffinian number.

72463 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72461) 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, 78 + ... + 388.

It is an arithmetic number, because the mean of its divisors is an integer number (18252).

2⁷²⁴⁶³ is an apocalyptic number.

72463 is a deficient number, since it is larger than the sum of its proper divisors (545).

72463 is a wasteful number, since it uses less digits than its factorization.

72463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544.

The product of its digits is 1008, while the sum is 22.

The square root of 72463 is about 269.1895243133. The cubic root of 72463 is about 41.6906599589.

It can be divided in two parts, 724 and 63, that added together give a palindrome (787).

The spelling of 72463 in words is "seventy-two thousand, four hundred sixty-three".