61135672 has 64 divisors (see below), whose sum is σ = 132148800. Its totient is φ = 26265600.

The previous prime is 61135663. The next prime is 61135681. The reversal of 61135672 is 27653116.

It is an interprime number because it is at equal distance from previous prime (61135663) and next prime (61135681).

It is a congruent number.

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, 266854 + ... + 267082.

It is an arithmetic number, because the mean of its divisors is an integer number (2064825).

Almost surely, 2^61135672 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 61135672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66074400).

61135672 is an abundant number, since it is smaller than the sum of its proper divisors (71013128).

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

61135672 is a wasteful number, since it uses less digits than its factorization.

61135672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 412 counting only the distinct ones).

The product of its digits is 7560, while the sum is 31.

The square root of 61135672 is about 7818.9303616288. The cubic root of 61135672 is about 393.9413450781.

Adding to 61135672 its reverse (27653116), we get a palindrome (88788788).

The spelling of 61135672 in words is "sixty-one million, one hundred thirty-five thousand, six hundred seventy-two".