6201267072 has 768 divisors, whose sum is σ = 23868587520. Its totient is φ = 1380188160.

The previous prime is 6201267071. The next prime is 6201267073. The reversal of 6201267072 is 2707621026.

It is an interprime number because it is at equal distance from previous prime (6201267071) and next prime (6201267073).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6201267071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84948828 + ... + 84948900.

It is an arithmetic number, because the mean of its divisors is an integer number (31078890).

Almost surely, 2^6201267072 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 6201267072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11934293760).

6201267072 is an abundant number, since it is smaller than the sum of its proper divisors (17667320448).

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

6201267072 is a wasteful number, since it uses less digits than its factorization.

6201267072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 6201267072 is about 78748.1242443272. The cubic root of 6201267072 is about 1837.2156880489.

Adding to 6201267072 its reverse (2707621026), we get a palindrome (8908888098).

The spelling of 6201267072 in words is "six billion, two hundred one million, two hundred sixty-seven thousand, seventy-two".