72780 has 24 divisors (see below), whose sum is σ = 203952. Its totient is φ = 19392.

The previous prime is 72767. The next prime is 72797. The reversal of 72780 is 8727.

It is a self number, because there is not a number n which added to its sum of digits gives 72780.

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 7 ways as a sum of consecutive naturals, for example, 547 + ... + 666.

It is an arithmetic number, because the mean of its divisors is an integer number (8498).

2⁷²⁷⁸⁰ is an apocalyptic number.

It is an amenable number.

72780 is an abundant number, since it is smaller than the sum of its proper divisors (131172).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101976).

72780 is a wasteful number, since it uses less digits than its factorization.

72780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 72780 is about 269.7776862530. Note that the first 3 decimals coincide. The cubic root of 72780 is about 41.7513654877.

The spelling of 72780 in words is "seventy-two thousand, seven hundred eighty".