83729016 has 192 divisors, whose sum is σ = 280350720. Its totient is φ = 22049280.

The previous prime is 83728987. The next prime is 83729017. The reversal of 83729016 is 61092738.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83729017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359236 + ... + 359468.

It is an arithmetic number, because the mean of its divisors is an integer number (1460160).

Almost surely, 2^83729016 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 83729016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140175360).

83729016 is an abundant number, since it is smaller than the sum of its proper divisors (196621704).

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

83729016 is a wasteful number, since it uses less digits than its factorization.

83729016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 83729016 is about 9150.3560586460. The cubic root of 83729016 is about 437.4804623656.

The spelling of 83729016 in words is "eighty-three million, seven hundred twenty-nine thousand, sixteen".