72035052137 has 8 divisors (see below), whose sum is σ = 74918428800. Its totient is φ = 69200964144.

The previous prime is 72035052121. The next prime is 72035052143. The reversal of 72035052137 is 73125053027.

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 72035052137 - 2⁴ = 72035052121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72035052097 and 72035052106.

It is not an unprimeable number, because it can be changed into a prime (72035052157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12319187 + ... + 12325032.

It is an arithmetic number, because the mean of its divisors is an integer number (9364803600).

Almost surely, 2^72035052137 is an apocalyptic number.

It is an amenable number.

72035052137 is a deficient number, since it is larger than the sum of its proper divisors (2883376663).

72035052137 is a wasteful number, since it uses less digits than its factorization.

72035052137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24644335.

The product of its (nonzero) digits is 44100, while the sum is 35.

The spelling of 72035052137 in words is "seventy-two billion, thirty-five million, fifty-two thousand, one hundred thirty-seven".