1001600072 has 32 divisors (see below), whose sum is σ = 2050297920. Its totient is φ = 454923840.

The previous prime is 1001600071. The next prime is 1001600099. The reversal of 1001600072 is 2700061001.

It is a happy number.

1001600072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1001600072.

It is not an unprimeable number, because it can be changed into a prime (1001600071) 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, 136973 + ... + 144099.

It is an arithmetic number, because the mean of its divisors is an integer number (64071810).

Almost surely, 2^1001600072 is an apocalyptic number.

It is an amenable number.

1001600072 is an abundant number, since it is smaller than the sum of its proper divisors (1048697848).

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

1001600072 is a wasteful number, since it uses less digits than its factorization.

1001600072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8741 (or 8737 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 1001600072 is about 31648.0658492743. The cubic root of 1001600072 is about 1000.5330731159.

Adding to 1001600072 its reverse (2700061001), we get a palindrome (3701661073).

The spelling of 1001600072 in words is "one billion, one million, six hundred thousand, seventy-two".