72926462401 has 9 divisors (see below), whose sum is σ = 78971509449. Its totient is φ = 67313493936.

The previous prime is 72926462369. The next prime is 72926462407. The reversal of 72926462401 is 10426462927.

The square root of 72926462401 is 270049.

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 1509244801 + 71417217600 = 38849^2 + 267240^2 .

It is not a de Polignac number, because 72926462401 - 2⁵ = 72926462369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72926462407) 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, 3500251 + ... + 3521023.

It is an arithmetic number, because the mean of its divisors is an integer number (8774612161).

Almost surely, 2^72926462401 is an apocalyptic number.

72926462401 is the 270049-th square number.

72926462401 is the 135025-th centered octagonal number.

It is an amenable number.

72926462401 is a deficient number, since it is larger than the sum of its proper divisors (6045047048).

72926462401 is an frugal number, since it uses more digits than its factorization.

72926462401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41572 (or 20786 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 72926462401 in words is "seventy-two billion, nine hundred twenty-six million, four hundred sixty-two thousand, four hundred one".