61641072 has 60 divisors (see below), whose sum is σ = 175111560. Its totient is φ = 20237184.

The previous prime is 61641053. The next prime is 61641109. The reversal of 61641072 is 27014616.

61641072 is a `hidden beast` number, since 616 + 41 + 0 + 7 + 2 = 666.

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, 6454 + ... + 12842.

It is an arithmetic number, because the mean of its divisors is an integer number (2918526).

Almost surely, 2^61641072 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 61641072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87555780).

61641072 is an abundant number, since it is smaller than the sum of its proper divisors (113470488).

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

61641072 is a wasteful number, since it uses less digits than its factorization.

61641072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6470 (or 6461 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 61641072 is about 7851.1828408209. The cubic root of 61641072 is about 395.0239199316.

Adding to 61641072 its reverse (27014616), we get a palindrome (88655688).

It can be divided in two parts, 616 and 41072, that multiplied together give a palindrome (25300352).

The spelling of 61641072 in words is "sixty-one million, six hundred forty-one thousand, seventy-two".