83952280272 has 160 divisors (see below), whose sum is σ = 256761066240. Its totient is φ = 23138058240.

The previous prime is 83952280271. The next prime is 83952280309. The reversal of 83952280272 is 27208225938.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83952280271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1191828 + ... + 1260300.

It is an arithmetic number, because the mean of its divisors is an integer number (1604756664).

Almost surely, 2^83952280272 is an apocalyptic number.

83952280272 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83952280272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128380533120).

83952280272 is an abundant number, since it is smaller than the sum of its proper divisors (172808785968).

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

83952280272 is a wasteful number, since it uses less digits than its factorization.

83952280272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68621 (or 68615 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 83952280272 in words is "eighty-three billion, nine hundred fifty-two million, two hundred eighty thousand, two hundred seventy-two".