73955 has 8 divisors (see below), whose sum is σ = 101472. Its totient is φ = 50688.

The previous prime is 73951. The next prime is 73961. The reversal of 73955 is 55937.

73955 = T₁₅₄ + T₁₅₅ + ... + T₁₅₉.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 73955 - 2² = 73951 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73951) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1022 + ... + 1091.

It is an arithmetic number, because the mean of its divisors is an integer number (12684).

2⁷³⁹⁵⁵ is an apocalyptic number.

73955 is a deficient number, since it is larger than the sum of its proper divisors (27517).

73955 is a wasteful number, since it uses less digits than its factorization.

73955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125.

The product of its digits is 4725, while the sum is 29.

The square root of 73955 is about 271.9466859515. The cubic root of 73955 is about 41.9748526710.

Adding to 73955 its sum of digits (29), we get a square (73984 = 272²).

The spelling of 73955 in words is "seventy-three thousand, nine hundred fifty-five".