72507453676129 has 8 divisors (see below), whose sum is σ = 72816736960520. Its totient is φ = 72198664851456.

The previous prime is 72507453676123. The next prime is 72507453676171. The reversal of 72507453676129 is 92167635470527.

It can be written as a sum of positive squares in 4 ways, for example, as 6949655888400 + 65557797787729 = 2636220^2 + 8096777^2 .

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 72507453676129 - 2³¹ = 72505306192481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72507453676123) 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, 123321024 + ... + 123907585.

It is an arithmetic number, because the mean of its divisors is an integer number (9102092120065).

Almost surely, 2^{72507453676129} is an apocalyptic number.

It is an amenable number.

72507453676129 is a deficient number, since it is larger than the sum of its proper divisors (309283284391).

72507453676129 is a wasteful number, since it uses less digits than its factorization.

72507453676129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247229859.

The product of its (nonzero) digits is 133358400, while the sum is 64.

The spelling of 72507453676129 in words is "seventy-two trillion, five hundred seven billion, four hundred fifty-three million, six hundred seventy-six thousand, one hundred twenty-nine".