72692293401 has 320 divisors, whose sum is σ = 146266193920. Its totient is φ = 34919216640.

The previous prime is 72692293381. The next prime is 72692293417. The reversal of 72692293401 is 10439229627.

72692293401 is a `hidden beast` number, since 72 + 6 + 92 + 2 + 93 + 401 = 666.

It is not a de Polignac number, because 72692293401 - 2⁹ = 72692292889 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72692293441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 572380200 + ... + 572380326.

It is an arithmetic number, because the mean of its divisors is an integer number (457081856).

Almost surely, 2^72692293401 is an apocalyptic number.

It is an amenable number.

72692293401 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

72692293401 is a wasteful number, since it uses less digits than its factorization.

72692293401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 72692293401 in words is "seventy-two billion, six hundred ninety-two million, two hundred ninety-three thousand, four hundred one".