83404567272 has 192 divisors, whose sum is σ = 245691714240. Its totient is φ = 23372789760.

The previous prime is 83404567271. The next prime is 83404567307. The reversal of 83404567272 is 27276540438.

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

It is not an unprimeable number, because it can be changed into a prime (83404567271) 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 47 ways as a sum of consecutive naturals, for example, 5088963 + ... + 5105325.

It is an arithmetic number, because the mean of its divisors is an integer number (1279644345).

Almost surely, 2^83404567272 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 83404567272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122845857120).

83404567272 is an abundant number, since it is smaller than the sum of its proper divisors (162287146968).

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

83404567272 is a wasteful number, since it uses less digits than its factorization.

83404567272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16464 (or 16429 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 83404567272 in words is "eighty-three billion, four hundred four million, five hundred sixty-seven thousand, two hundred seventy-two".