72630789001 has 27 divisors (see below), whose sum is σ = 78506294503. Its totient is φ = 67181209280.

The previous prime is 72630788999. The next prime is 72630789013. The reversal of 72630789001 is 10098703627.

It is a happy number.

The square root of 72630789001 is 269501.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 56546462025 + 16084326976 = 237795^2 + 126824^2 .

It is not a de Polignac number, because 72630789001 - 2¹ = 72630788999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72630789061) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 380265816 + ... + 380266006.

Almost surely, 2^72630789001 is an apocalyptic number.

72630789001 is the 269501-st square number.

72630789001 is the 134751-st centered octagonal number.

It is an amenable number.

72630789001 is a deficient number, since it is larger than the sum of its proper divisors (5875505502).

72630789001 is an frugal number, since it uses more digits than its factorization.

72630789001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The spelling of 72630789001 in words is "seventy-two billion, six hundred thirty million, seven hundred eighty-nine thousand, one".