61672 has 16 divisors (see below), whose sum is σ = 124740. Its totient is φ = 28416.

The previous prime is 61667. The next prime is 61673. The reversal of 61672 is 27616.

61672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 60516 + 1156 = 246^2 + 34^2 .

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (61673) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 193 + ... + 400.

2⁶¹⁶⁷² is an apocalyptic number.

It is an amenable number.

61672 is an abundant number, since it is smaller than the sum of its proper divisors (63068).

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 (62370).

61672 is a wasteful number, since it uses less digits than its factorization.

61672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 608 counting only the distinct ones).

The product of its digits is 504, while the sum is 22.

The square root of 61672 is about 248.3384786939. The cubic root of 61672 is about 39.5089975764.

The spelling of 61672 in words is "sixty-one thousand, six hundred seventy-two".