61919872 has 64 divisors (see below), whose sum is σ = 145900800. Its totient is φ = 25611264.

The previous prime is 61919857. The next prime is 61919903. The reversal of 61919872 is 27891916.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24793 + ... + 27175.

It is an arithmetic number, because the mean of its divisors is an integer number (2279700).

Almost surely, 2^61919872 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 61919872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72950400).

61919872 is an abundant number, since it is smaller than the sum of its proper divisors (83980928).

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

61919872 is a wasteful number, since it uses less digits than its factorization.

61919872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2421 counting only the distinct ones).

The product of its digits is 54432, while the sum is 43.

The square root of 61919872 is about 7868.9180959011. The cubic root of 61919872 is about 395.6185831945.

The spelling of 61919872 in words is "sixty-one million, nine hundred nineteen thousand, eight hundred seventy-two".