5201667072 has 660 divisors, whose sum is σ = 19466216704. Its totient is φ = 1353646080.

The previous prime is 5201667061. The next prime is 5201667083. The reversal of 5201667072 is 2707661025.

5201667072 is a `hidden beast` number, since 520 + 1 + 6 + 67 + 0 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (5201667061) and next prime (5201667083).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 167795697 + ... + 167795727.

Almost surely, 2^5201667072 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 5201667072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9733108352).

5201667072 is an abundant number, since it is smaller than the sum of its proper divisors (14264549632).

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

5201667072 is a wasteful number, since it uses less digits than its factorization.

5201667072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 5201667072 is about 72122.5836475649. The cubic root of 5201667072 is about 1732.6633297415.

The spelling of 5201667072 in words is "five billion, two hundred one million, six hundred sixty-seven thousand, seventy-two".