2007199272 has 128 divisors (see below), whose sum is σ = 5650444800. Its totient is φ = 589897728.

The previous prime is 2007199267. The next prime is 2007199277. The reversal of 2007199272 is 2729917002.

It is an interprime number because it is at equal distance from previous prime (2007199267) and next prime (2007199277).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2007199272.

It is not an unprimeable number, because it can be changed into a prime (2007199277) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 876513 + ... + 878799.

It is an arithmetic number, because the mean of its divisors is an integer number (44144100).

Almost surely, 2^2007199272 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 2007199272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825222400).

2007199272 is an abundant number, since it is smaller than the sum of its proper divisors (3643245528).

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

2007199272 is a wasteful number, since it uses less digits than its factorization.

2007199272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 2007199272 is about 44801.7775540212. Note that the first 3 decimals coincide. The cubic root of 2007199272 is about 1261.4309919837.

The spelling of 2007199272 in words is "two billion, seven million, one hundred ninety-nine thousand, two hundred seventy-two".