61772 has 6 divisors (see below), whose sum is σ = 108108. Its totient is φ = 30884.

The previous prime is 61757. The next prime is 61781. The reversal of 61772 is 27716.

It is a happy number.

61772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 61772.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7718 + ... + 7725.

It is an arithmetic number, because the mean of its divisors is an integer number (18018).

2⁶¹⁷⁷² is an apocalyptic number.

It is an amenable number.

61772 is a deficient number, since it is larger than the sum of its proper divisors (46336).

61772 is a wasteful number, since it uses less digits than its factorization.

61772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15447 (or 15445 counting only the distinct ones).

The product of its digits is 588, while the sum is 23.

The square root of 61772 is about 248.5397352537. The cubic root of 61772 is about 39.5303404130.

The spelling of 61772 in words is "sixty-one thousand, seven hundred seventy-two".