69972000 has 384 divisors, whose sum is σ = 283046400. Its totient is φ = 15052800.

The previous prime is 69971999. The next prime is 69972037. The reversal of 69972000 is 27996.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4115992 + ... + 4116008.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 2^69972000 is an apocalyptic number.

69972000 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 69972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

69972000 is an abundant number, since it is smaller than the sum of its proper divisors (213074400).

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

69972000 is a wasteful number, since it uses less digits than its factorization.

69972000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 69972000 is about 8364.9267779222. The cubic root of 69972000 is about 412.0735721818.

Adding to 69972000 its reverse (27996), we get a palindrome (69999996).

The spelling of 69972000 in words is "sixty-nine million, nine hundred seventy-two thousand".