83125737072 has 60 divisors (see below), whose sum is σ = 265870416240. Its totient is φ = 23750210304.

The previous prime is 83125737047. The next prime is 83125737077. The reversal of 83125737072 is 27073752138.

It is a happy number.

83125737072 is a `hidden beast` number, since 8 + 3 + 1 + 2 + 573 + 7 + 0 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83125737077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41231997 + ... + 41234012.

It is an arithmetic number, because the mean of its divisors is an integer number (4431173604).

Almost surely, 2^83125737072 is an apocalyptic number.

It is an amenable number.

83125737072 is an abundant number, since it is smaller than the sum of its proper divisors (182744679168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83125737072 is a wasteful number, since it uses less digits than its factorization.

83125737072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82466030 (or 82466021 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 83125737072 in words is "eighty-three billion, one hundred twenty-five million, seven hundred thirty-seven thousand, seventy-two".