72146497201 has 9 divisors (see below), whose sum is σ = 72821247681. Its totient is φ = 71477949312.

The previous prime is 72146497133. The next prime is 72146497207. The reversal of 72146497201 is 10279464127.

The square root of 72146497201 is 268601.

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

It can be written as a sum of positive squares in 4 ways, for example, as 34059071601 + 38087425600 = 184551^2 + 195160^2 .

It is not a de Polignac number, because 72146497201 - 2²³ = 72138108593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72146497207) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30350725 + ... + 30353101.

Almost surely, 2^72146497201 is an apocalyptic number.

72146497201 is the 268601-st square number.

72146497201 is the 134301-st centered octagonal number.

It is an amenable number.

72146497201 is a deficient number, since it is larger than the sum of its proper divisors (674750480).

72146497201 is an frugal number, since it uses more digits than its factorization.

72146497201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4980 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 72146497201 in words is "seventy-two billion, one hundred forty-six million, four hundred ninety-seven thousand, two hundred one".