73623 has 16 divisors (see below), whose sum is σ = 112896. Its totient is φ = 42240.

The previous prime is 73613. The next prime is 73637. The reversal of 73623 is 32637.

73623 = T₃₂ + T₃₃ + ... + T₇₇.

73623 = 47² + 48² + ... + 68².

It is not a de Polignac number, because 73623 - 2⁴ = 73607 is a prime.

It is a super-2 number, since 2×73623² = 10840692258, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 73623.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711 + ... + 807.

It is an arithmetic number, because the mean of its divisors is an integer number (7056).

2⁷³⁶²³ is an apocalyptic number.

73623 is a deficient number, since it is larger than the sum of its proper divisors (39273).

73623 is a wasteful number, since it uses less digits than its factorization.

73623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134.

The product of its digits is 756, while the sum is 21.

The square root of 73623 is about 271.3355855762. The cubic root of 73623 is about 41.9119470454.

It can be divided in two parts, 73 and 623, that added together give a palindrome (696).

The spelling of 73623 in words is "seventy-three thousand, six hundred twenty-three".