61765792 has 48 divisors (see below), whose sum is σ = 133412832. Its totient is φ = 27915520.

The previous prime is 61765783. The next prime is 61765867. The reversal of 61765792 is 29756716.

61765792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61765792² = 7630026122774528, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79518 + ... + 80290.

It is an arithmetic number, because the mean of its divisors is an integer number (2779434).

Almost surely, 2^61765792 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 61765792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66706416).

61765792 is an abundant number, since it is smaller than the sum of its proper divisors (71647040).

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

61765792 is a wasteful number, since it uses less digits than its factorization.

61765792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1013 counting only the distinct ones).

The product of its digits is 158760, while the sum is 43.

The square root of 61765792 is about 7859.1215794133. The cubic root of 61765792 is about 395.2901612055.

The spelling of 61765792 in words is "sixty-one million, seven hundred sixty-five thousand, seven hundred ninety-two".