65802672 has 80 divisors (see below), whose sum is σ = 203424480. Its totient is φ = 20245248.

The previous prime is 65802647. The next prime is 65802673. The reversal of 65802672 is 27620856.

65802672 is a `hidden beast` number, since 6 + 580 + 2 + 6 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (65802673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243 + ... + 11474.

It is an arithmetic number, because the mean of its divisors is an integer number (2542806).

Almost surely, 2^65802672 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 65802672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101712240).

65802672 is an abundant number, since it is smaller than the sum of its proper divisors (137621808).

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

65802672 is a wasteful number, since it uses less digits than its factorization.

65802672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11747 (or 11735 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 65802672 is about 8111.8846145640. The cubic root of 65802672 is about 403.7208475790.

The spelling of 65802672 in words is "sixty-five million, eight hundred two thousand, six hundred seventy-two".