72468101601 has 45 divisors (see below), whose sum is σ = 125958552291. Its totient is φ = 41400652608.

The previous prime is 72468101581. The next prime is 72468101663. The reversal of 72468101601 is 10610186427.

It is a happy number.

The square root of 72468101601 is 269199.

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

72468101601 is a `hidden beast` number, since 7 + 2 + 46 + 8 + 1 + 0 + 1 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19649030625 + 52819070976 = 140175^2 + 229824^2 .

It is not a de Polignac number, because 72468101601 - 2⁵ = 72468101569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72468101401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16957401 + ... + 16961673.

Almost surely, 2^72468101601 is an apocalyptic number.

72468101601 is the 269199-th square number.

72468101601 is the 134600-th centered octagonal number.

It is an amenable number.

72468101601 is a deficient number, since it is larger than the sum of its proper divisors (53490450690).

72468101601 is an frugal number, since it uses more digits than its factorization.

72468101601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8572 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Multiplying 72468101601 by its sum of digits (36), we get a square (2608851657636 = 1615194²).

The spelling of 72468101601 in words is "seventy-two billion, four hundred sixty-eight million, one hundred one thousand, six hundred one".