4272067800 has 576 divisors, whose sum is σ = 19271266560. Its totient is φ = 819072000.

The previous prime is 4272067781. The next prime is 4272067831. The reversal of 4272067800 is 87602724.

It is a super-4 number, since 4×4272067800⁴ (a number of 40 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 1800615 + ... + 1802985.

It is an arithmetic number, because the mean of its divisors is an integer number (33457060).

Almost surely, 2^4272067800 is an apocalyptic number.

4272067800 is a gapful number since it is divisible by the number (40) 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 4272067800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9635633280).

4272067800 is an abundant number, since it is smaller than the sum of its proper divisors (14999198760).

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

4272067800 is a wasteful number, since it uses less digits than its factorization.

4272067800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2412 counting only the distinct ones).

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

The square root of 4272067800 is about 65361.0572129919. The cubic root of 4272067800 is about 1622.6046348997.

The spelling of 4272067800 in words is "four billion, two hundred seventy-two million, sixty-seven thousand, eight hundred".