33072193137 has 16 divisors (see below), whose sum is σ = 46729428480. Its totient is φ = 20768630400.

The previous prime is 33072193129. The next prime is 33072193139. The reversal of 33072193137 is 73139127033.

It is not a de Polignac number, because 33072193137 - 2³ = 33072193129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33072193095 and 33072193104.

It is not an unprimeable number, because it can be changed into a prime (33072193139) 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 15 ways as a sum of consecutive naturals, for example, 4632289 + ... + 4639422.

It is an arithmetic number, because the mean of its divisors is an integer number (2920589280).

Almost surely, 2^33072193137 is an apocalyptic number.

It is an amenable number.

33072193137 is a deficient number, since it is larger than the sum of its proper divisors (13657235343).

33072193137 is a wasteful number, since it uses less digits than its factorization.

33072193137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9271784.

The product of its (nonzero) digits is 71442, while the sum is 39.

The spelling of 33072193137 in words is "thirty-three billion, seventy-two million, one hundred ninety-three thousand, one hundred thirty-seven".