61272 has 48 divisors (see below), whose sum is σ = 177840. Its totient is φ = 19008.

The previous prime is 61261. The next prime is 61283. The reversal of 61272 is 27216.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (61261) and next prime (61283).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1638 + ... + 1674.

It is an arithmetic number, because the mean of its divisors is an integer number (3705).

2⁶¹²⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88920).

61272 is an abundant number, since it is smaller than the sum of its proper divisors (116568).

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

61272 is a wasteful number, since it uses less digits than its factorization.

61272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 65 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 61272 is about 247.5318161368. The cubic root of 61272 is about 39.4233947655.

Adding to 61272 its reverse (27216), we get a palindrome (88488).

It can be divided in two parts, 61 and 272, that added together give a palindrome (333).

The spelling of 61272 in words is "sixty-one thousand, two hundred seventy-two".