61972 has 6 divisors (see below), whose sum is σ = 108458. Its totient is φ = 30984.

The previous prime is 61967. The next prime is 61979. The reversal of 61972 is 27916.

It can be written as a sum of positive squares in only one way, i.e., 37636 + 24336 = 194^2 + 156^2 .

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61979) by changing a digit.

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 as a sum of consecutive naturals, namely, 7743 + ... + 7750.

2⁶¹⁹⁷² is an apocalyptic number.

It is an amenable number.

61972 is a deficient number, since it is larger than the sum of its proper divisors (46486).

61972 is a wasteful number, since it uses less digits than its factorization.

61972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15497 (or 15495 counting only the distinct ones).

The product of its digits is 756, while the sum is 25.

The square root of 61972 is about 248.9417602573. The cubic root of 61972 is about 39.5729570833.

Subtracting from 61972 its product of digits (756), we obtain a palindrome (61216).

The spelling of 61972 in words is "sixty-one thousand, nine hundred seventy-two".