72754 has 8 divisors (see below), whose sum is σ = 119088. Its totient is φ = 33060.

The previous prime is 72739. The next prime is 72763. The reversal of 72754 is 45727.

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

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 1632 + ... + 1675.

It is an arithmetic number, because the mean of its divisors is an integer number (14886).

2⁷²⁷⁵⁴ is an apocalyptic number.

72754 is a deficient number, since it is larger than the sum of its proper divisors (46334).

72754 is a wasteful number, since it uses less digits than its factorization.

72754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3320.

The product of its digits is 1960, while the sum is 25.

The square root of 72754 is about 269.7294941233. The cubic root of 72754 is about 41.7463931291.

The spelling of 72754 in words is "seventy-two thousand, seven hundred fifty-four".