61117672 has 64 divisors (see below), whose sum is σ = 145981440. Its totient is φ = 23294400.

The previous prime is 61117649. The next prime is 61117681. The reversal of 61117672 is 27671116.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27897 + ... + 30007.

It is an arithmetic number, because the mean of its divisors is an integer number (2280960).

Almost surely, 2^61117672 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 61117672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72990720).

61117672 is an abundant number, since it is smaller than the sum of its proper divisors (84863768).

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

61117672 is a wasteful number, since it uses less digits than its factorization.

61117672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2178 counting only the distinct ones).

The product of its digits is 3528, while the sum is 31.

The square root of 61117672 is about 7817.7792243066. The cubic root of 61117672 is about 393.9026789442.

Adding to 61117672 its reverse (27671116), we get a palindrome (88788788).

The spelling of 61117672 in words is "sixty-one million, one hundred seventeen thousand, six hundred seventy-two".