83729730 has 128 divisors (see below), whose sum is σ = 239616000. Its totient is φ = 18712512.

The previous prime is 83729693. The next prime is 83729753. The reversal of 83729730 is 3792738.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 812859 + ... + 812961.

It is an arithmetic number, because the mean of its divisors is an integer number (1872000).

Almost surely, 2^83729730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83729730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119808000).

83729730 is an abundant number, since it is smaller than the sum of its proper divisors (155886270).

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

83729730 is a wasteful number, since it uses less digits than its factorization.

83729730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 83729730 is about 9150.3950734381. The cubic root of 83729730 is about 437.4817059017.

The spelling of 83729730 in words is "eighty-three million, seven hundred twenty-nine thousand, seven hundred thirty".