3972728001 has 8 divisors (see below), whose sum is σ = 5778513504. Its totient is φ = 2407713920.

The previous prime is 3972727991. The next prime is 3972728017. The reversal of 3972728001 is 1008272793.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3972728001 - 2⁷ = 3972727873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3972728051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60192816 + ... + 60192881.

It is an arithmetic number, because the mean of its divisors is an integer number (722314188).

Almost surely, 2^3972728001 is an apocalyptic number.

It is an amenable number.

3972728001 is a deficient number, since it is larger than the sum of its proper divisors (1805785503).

3972728001 is a wasteful number, since it uses less digits than its factorization.

3972728001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120385711.

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 3972728001 is about 63029.5803650952. The cubic root of 3972728001 is about 1583.7851884977.

The spelling of 3972728001 in words is "three billion, nine hundred seventy-two million, seven hundred twenty-eight thousand, one".