65061072 has 60 divisors (see below), whose sum is σ = 183102244. Its totient is φ = 21565440.

The previous prime is 65061071. The next prime is 65061079. The reversal of 65061072 is 27016056.

65061072 is a `hidden beast` number, since 650 + 6 + 1 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28772496 + 36288576 = 5364^2 + 6024^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65061071) 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, 26622 + ... + 28962.

Almost surely, 2^65061072 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 65061072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91551122).

65061072 is an abundant number, since it is smaller than the sum of its proper divisors (118041172).

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

65061072 is a wasteful number, since it uses less digits than its factorization.

65061072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 65061072 is about 8066.0443837113. The cubic root of 65061072 is about 402.1984614480.

The spelling of 65061072 in words is "sixty-five million, sixty-one thousand, seventy-two".