73764 has 24 divisors (see below), whose sum is σ = 191520. Its totient is φ = 24552.

The previous prime is 73757. The next prime is 73771. The reversal of 73764 is 46737.

It is an interprime number because it is at equal distance from previous prime (73757) and next prime (73771).

It is a super-2 number, since 2×73764² = 10882255392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73764.

It is an unprimeable number.

73764 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234 + ... + 449.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2⁷³⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

73764 is an abundant number, since it is smaller than the sum of its proper divisors (117756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95760).

73764 is a wasteful number, since it uses less digits than its factorization.

73764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 688 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 73764 is about 271.5952871462. The cubic root of 73764 is about 41.9386860442.

Subtracting from 73764 its sum of digits (27), we obtain a palindrome (73737).

The spelling of 73764 in words is "seventy-three thousand, seven hundred sixty-four".