73892 has 36 divisors (see below), whose sum is σ = 167580. Its totient is φ = 28224.

The previous prime is 73883. The next prime is 73897. The reversal of 73892 is 29837.

It can be written as a sum of positive squares in 2 ways, for example, as 23716 + 50176 = 154^2 + 224^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (73897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2534 + ... + 2562.

It is an arithmetic number, because the mean of its divisors is an integer number (4655).

2⁷³⁸⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83790).

73892 is an abundant number, since it is smaller than the sum of its proper divisors (93688).

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

73892 is a wasteful number, since it uses less digits than its factorization.

73892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 51 counting only the distinct ones).

The product of its digits is 3024, while the sum is 29.

The square root of 73892 is about 271.8308297453. The cubic root of 73892 is about 41.9629302543.

It can be divided in two parts, 738 and 92, that multiplied together give a triangular number (67896 = T₃₆₈).

The spelling of 73892 in words is "seventy-three thousand, eight hundred ninety-two".