5672721600 has 1260 divisors, whose sum is σ = 26501805264. Its totient is φ = 1164533760.

The previous prime is 5672721547. The next prime is 5672721611. The reversal of 5672721600 is 61272765.

5672721600 is a `hidden beast` number, since 5 + 6 + 7 + 27 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a super-2 number, since 2×5672721600² = 64359540702213120000, which contains 22 as substring.

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 179 ways as a sum of consecutive naturals, for example, 153316782 + ... + 153316818.

Almost surely, 2^5672721600 is an apocalyptic number.

5672721600 is a gapful number since it is divisible by the number (50) 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 5672721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13250902632).

5672721600 is an abundant number, since it is smaller than the sum of its proper divisors (20829083664).

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

5672721600 is a wasteful number, since it uses less digits than its factorization.

5672721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 67 counting only the distinct ones).

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

The square root of 5672721600 is about 75317.4720765375. The cubic root of 5672721600 is about 1783.4618484455.

The spelling of 5672721600 in words is "five billion, six hundred seventy-two million, seven hundred twenty-one thousand, six hundred".