61765872 has 60 divisors (see below), whose sum is σ = 185619816. Its totient is φ = 17646720.

The previous prime is 61765867. The next prime is 61765877. The reversal of 61765872 is 27856716.

It is an interprime number because it is at equal distance from previous prime (61765867) and next prime (61765877).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61765877) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10779 + ... + 15482.

Almost surely, 2^61765872 is an apocalyptic number.

It is an amenable number.

61765872 is an abundant number, since it is smaller than the sum of its proper divisors (123853944).

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

61765872 is a wasteful number, since it uses less digits than its factorization.

61765872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26286 (or 26273 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 61765872 is about 7859.1266690390. The cubic root of 61765872 is about 395.2903318673.

The spelling of 61765872 in words is "sixty-one million, seven hundred sixty-five thousand, eight hundred seventy-two".