6972739200 has 1008 divisors, whose sum is σ = 30534343110. Its totient is φ = 1567641600.

The previous prime is 6972739181. The next prime is 6972739229. The reversal of 6972739200 is 29372796.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3129731136 + 3843008064 = 55944^2 + 61992^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 125 ways as a sum of consecutive naturals, for example, 114307170 + ... + 114307230.

Almost surely, 2^6972739200 is an apocalyptic number.

6972739200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6972739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15267171555).

6972739200 is an abundant number, since it is smaller than the sum of its proper divisors (23561603910).

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

6972739200 is an equidigital number, since it uses as much as digits as its factorization.

6972739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 6972739200 is about 83502.9292899357. The cubic root of 6972739200 is about 1910.4447124708. Note that the first 3 decimals are identical.

The spelling of 6972739200 in words is "six billion, nine hundred seventy-two million, seven hundred thirty-nine thousand, two hundred".