73268 has 12 divisors (see below), whose sum is σ = 138180. Its totient is φ = 33792.

The previous prime is 73259. The next prime is 73277. The reversal of 73268 is 86237.

It is an interprime number because it is at equal distance from previous prime (73259) and next prime (73277).

It can be written as a sum of positive squares in 2 ways, for example, as 4624 + 68644 = 68^2 + 262^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

73268 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 3 ways as a sum of consecutive naturals, for example, 653 + ... + 756.

It is an arithmetic number, because the mean of its divisors is an integer number (11515).

2^{73268} is an apocalyptic number.

It is an amenable number.

73268 is a deficient number, since it is larger than the sum of its proper divisors (64912).

73268 is a wasteful number, since it uses less digits than its factorization.

73268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1424 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 73268 is about 270.6806236139. The cubic root of 73268 is about 41.8444739283.

The spelling of 73268 in words is "seventy-three thousand, two hundred sixty-eight".

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