72510513141 has 64 divisors (see below), whose sum is σ = 112521830400. Its totient is φ = 41121024000.

The previous prime is 72510513133. The next prime is 72510513193. The reversal of 72510513141 is 14131501527.

It is not a de Polignac number, because 72510513141 - 2³ = 72510513133 is a prime.

It is a super-2 number, since 2×72510513141² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72510513099 and 72510513108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72510513041) 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 63 ways as a sum of consecutive naturals, for example, 4731910 + ... + 4747208.

It is an arithmetic number, because the mean of its divisors is an integer number (1758153600).

Almost surely, 2^72510513141 is an apocalyptic number.

It is an amenable number.

72510513141 is a deficient number, since it is larger than the sum of its proper divisors (40011317259).

72510513141 is a wasteful number, since it uses less digits than its factorization.

72510513141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15498.

The product of its (nonzero) digits is 4200, while the sum is 30.

The spelling of 72510513141 in words is "seventy-two billion, five hundred ten million, five hundred thirteen thousand, one hundred forty-one".