1072000072 has 64 divisors (see below), whose sum is σ = 2367792000. Its totient is φ = 448573440.

The previous prime is 1072000049. The next prime is 1072000079. The reversal of 1072000072 is 2700002701.

It is a super-2 number, since 2×1072000072² = 2298368308736010368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1072000079) 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 15 ways as a sum of consecutive naturals, for example, 512613 + ... + 514699.

It is an arithmetic number, because the mean of its divisors is an integer number (36996750).

Almost surely, 2^1072000072 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 1072000072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183896000).

1072000072 is an abundant number, since it is smaller than the sum of its proper divisors (1295791928).

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

1072000072 is a wasteful number, since it uses less digits than its factorization.

1072000072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 1072000072 is about 32741.4121870148. The cubic root of 1072000072 is about 1023.4460122954.

Adding to 1072000072 its reverse (2700002701), we get a palindrome (3772002773).

The spelling of 1072000072 in words is "one billion, seventy-two million, seventy-two", and thus it is an aban number and an uban number.