73256206401 has 48 divisors (see below), whose sum is σ = 124900199424. Its totient is φ = 40504901472.

The previous prime is 73256206391. The next prime is 73256206411. The reversal of 73256206401 is 10460265237.

73256206401 is a `hidden beast` number, since 7 + 3 + 2 + 5 + 6 + 2 + 0 + 640 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (73256206391) and next prime (73256206411).

It is not a de Polignac number, because 73256206401 - 2¹¹ = 73256204353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73256206411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163500 + ... + 416226.

It is an arithmetic number, because the mean of its divisors is an integer number (2602087488).

Almost surely, 2^73256206401 is an apocalyptic number.

It is an amenable number.

73256206401 is a deficient number, since it is larger than the sum of its proper divisors (51643993023).

73256206401 is a wasteful number, since it uses less digits than its factorization.

73256206401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252890 (or 252887 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 73256206401 in words is "seventy-three billion, two hundred fifty-six million, two hundred six thousand, four hundred one".