72774 has 24 divisors (see below), whose sum is σ = 170352. Its totient is φ = 22320.

The previous prime is 72767. The next prime is 72797. The reversal of 72774 is 47727.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

72774 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, 79 + ... + 389.

It is an arithmetic number, because the mean of its divisors is an integer number (7098).

2⁷²⁷⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85176).

72774 is an abundant number, since it is smaller than the sum of its proper divisors (97578).

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

72774 is a wasteful number, since it uses less digits than its factorization.

72774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 329 counting only the distinct ones).

The product of its digits is 2744, while the sum is 27.

The square root of 72774 is about 269.7665657564. The cubic root of 72774 is about 41.7502181255.

The spelling of 72774 in words is "seventy-two thousand, seven hundred seventy-four", and thus it is an iban number.