1072100072 has 24 divisors (see below), whose sum is σ = 2081907750. Its totient is φ = 517562304.

The previous prime is 1072100039. The next prime is 1072100077. The reversal of 1072100072 is 2700012701.

It can be written as a sum of positive squares in 3 ways, for example, as 1047557956 + 24542116 = 32366^2 + 4954^2 .

It is a super-2 number, since 2×1072100072² = 2298797128764810368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1072100077) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72947 + ... + 86402.

Almost surely, 2^1072100072 is an apocalyptic number.

It is an amenable number.

1072100072 is a deficient number, since it is larger than the sum of its proper divisors (1009807678).

1072100072 is a wasteful number, since it uses less digits than its factorization.

1072100072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159413 (or 159380 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 1072100072 is about 32742.9392694059. The cubic root of 1072100072 is about 1023.4778348738.

Adding to 1072100072 its reverse (2700012701), we get a palindrome (3772112773).

The spelling of 1072100072 in words is "one billion, seventy-two million, one hundred thousand, seventy-two".