65871072 has 72 divisors (see below), whose sum is σ = 188107920. Its totient is φ = 21864960.

The previous prime is 65871061. The next prime is 65871109. The reversal of 65871072 is 27017856.

65871072 is a `hidden beast` number, since 6 + 587 + 1 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126172 + ... + 126692.

It is an arithmetic number, because the mean of its divisors is an integer number (2612610).

Almost surely, 2^65871072 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 65871072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94053960).

65871072 is an abundant number, since it is smaller than the sum of its proper divisors (122236848).

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

65871072 is a wasteful number, since it uses less digits than its factorization.

65871072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 65871072 is about 8116.0995558211. The cubic root of 65871072 is about 403.8606845719.

The spelling of 65871072 in words is "sixty-five million, eight hundred seventy-one thousand, seventy-two".