73476 has 36 divisors (see below), whose sum is σ = 201292. Its totient is φ = 22464.

The previous prime is 73471. The next prime is 73477. The reversal of 73476 is 67437.

73476 = T₂₅ + T₂₆ + ... + T₇₆.

It can be written as a sum of positive squares in 2 ways, for example, as 15876 + 57600 = 126^2 + 240^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73476.

It is not an unprimeable number, because it can be changed into a prime (73471) by changing a digit.

73476 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 390 + ... + 546.

2⁷³⁴⁷⁶ 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 73476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100646).

73476 is an abundant number, since it is smaller than the sum of its proper divisors (127816).

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

73476 is a wasteful number, since it uses less digits than its factorization.

73476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 175 counting only the distinct ones).

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

The square root of 73476 is about 271.0645679538. The cubic root of 73476 is about 41.8840338422.

The spelling of 73476 in words is "seventy-three thousand, four hundred seventy-six".