72301400410327 has 8 divisors (see below), whose sum is σ = 78949301870592. Its totient is φ = 65666006763000.

The previous prime is 72301400410321. The next prime is 72301400410363.

72301400410327 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72301400410327 - 2¹⁹ = 72301399886039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72301400410292 and 72301400410301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72301400410321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3126941143 + ... + 3126964264.

It is an arithmetic number, because the mean of its divisors is an integer number (9868662733824).

Almost surely, 2^{72301400410327} is an apocalyptic number.

72301400410327 is a deficient number, since it is larger than the sum of its proper divisors (6647901460265).

72301400410327 is a wasteful number, since it uses less digits than its factorization.

72301400410327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6253906469.

The product of its (nonzero) digits is 28224, while the sum is 34.

It can be divided in two parts, 72301400 and 410327, that added together give a palindrome (72711727).

The spelling of 72301400410327 in words is "seventy-two trillion, three hundred one billion, four hundred million, four hundred ten thousand, three hundred twenty-seven".