83535072672 has 192 divisors, whose sum is σ = 225678991104. Its totient is φ = 27047854080.

The previous prime is 83535072671. The next prime is 83535072683. The reversal of 83535072672 is 27627053538.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (83535072671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160335772 + ... + 160336292.

It is an arithmetic number, because the mean of its divisors is an integer number (1175411412).

Almost surely, 2^83535072672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83535072672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112839495552).

83535072672 is an abundant number, since it is smaller than the sum of its proper divisors (142143918432).

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

83535072672 is a wasteful number, since it uses less digits than its factorization.

83535072672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 83535072672 in words is "eighty-three billion, five hundred thirty-five million, seventy-two thousand, six hundred seventy-two".