61912872 has 192 divisors, whose sum is σ = 205920000. Its totient is φ = 16765056.

The previous prime is 61912867. The next prime is 61912897. The reversal of 61912872 is 27821916.

61912872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (12096) is a multiple of the sum of its prime divisors (144).

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 47 ways as a sum of consecutive naturals, for example, 567954 + ... + 568062.

It is an arithmetic number, because the mean of its divisors is an integer number (1072500).

Almost surely, 2^61912872 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 61912872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102960000).

61912872 is an abundant number, since it is smaller than the sum of its proper divisors (144007128).

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

61912872 is a wasteful number, since it uses less digits than its factorization.

61912872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 144 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 61912872 is about 7868.4732953731. The cubic root of 61912872 is about 395.6036744942.

The spelling of 61912872 in words is "sixty-one million, nine hundred twelve thousand, eight hundred seventy-two".