647082072 has 288 divisors, whose sum is σ = 2219892480. Its totient is φ = 166682880.

The previous prime is 647081983. The next prime is 647082077. The reversal of 647082072 is 270280746.

647082072 is a `hidden beast` number, since 647 + 0 + 8 + 2 + 0 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (647082077) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6047443 + ... + 6047549.

It is an arithmetic number, because the mean of its divisors is an integer number (7707960).

Almost surely, 2^647082072 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 647082072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109946240).

647082072 is an abundant number, since it is smaller than the sum of its proper divisors (1572810408).

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

647082072 is a wasteful number, since it uses less digits than its factorization.

647082072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 647082072 is about 25437.8079244262. The cubic root of 647082072 is about 864.9409437668.

The spelling of 647082072 in words is "six hundred forty-seven million, eighty-two thousand, seventy-two".