3152072000 has 672 divisors, whose sum is σ = 10732715136. Its totient is φ = 903168000.

The previous prime is 3152071987. The next prime is 3152072009. The reversal of 3152072000 is 2702513.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3152072009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73303979 + ... + 73304021.

Almost surely, 2^3152072000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3152072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5366357568).

3152072000 is an abundant number, since it is smaller than the sum of its proper divisors (7580643136).

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

3152072000 is a wasteful number, since it uses less digits than its factorization.

3152072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 3152072000 is about 56143.3166102609. The cubic root of 3152072000 is about 1466.2185499677.

Adding to 3152072000 its reverse (2702513), we get a palindrome (3154774513).

The spelling of 3152072000 in words is "three billion, one hundred fifty-two million, seventy-two thousand".