72153583413 has 16 divisors (see below), whose sum is σ = 99126793920. Its totient is φ = 46649851776.

The previous prime is 72153583409. The next prime is 72153583433. The reversal of 72153583413 is 31438535127.

It is not a de Polignac number, because 72153583413 - 2² = 72153583409 is a prime.

It is a super-2 number, since 2×72153583413² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72153583433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1024608 + ... + 1092761.

It is an arithmetic number, because the mean of its divisors is an integer number (6195424620).

Almost surely, 2^72153583413 is an apocalyptic number.

It is an amenable number.

72153583413 is a deficient number, since it is larger than the sum of its proper divisors (26973210507).

72153583413 is a wasteful number, since it uses less digits than its factorization.

72153583413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117716.

The product of its digits is 302400, while the sum is 42.

The spelling of 72153583413 in words is "seventy-two billion, one hundred fifty-three million, five hundred eighty-three thousand, four hundred thirteen".