83720736 has 192 divisors, whose sum is σ = 278691840. Its totient is φ = 24203520.

The previous prime is 83720701. The next prime is 83720737. The reversal of 83720736 is 63702738.

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

It is a self number, because there is not a number n which added to its sum of digits gives 83720736.

It is not an unprimeable number, because it can be changed into a prime (83720737) 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, 218401 + ... + 218783.

It is an arithmetic number, because the mean of its divisors is an integer number (1451520).

Almost surely, 2^83720736 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 83720736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139345920).

83720736 is an abundant number, since it is smaller than the sum of its proper divisors (194971104).

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

83720736 is a wasteful number, since it uses less digits than its factorization.

83720736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 83720736 is about 9149.9036060496. The cubic root of 83720736 is about 437.4660410104.

The spelling of 83720736 in words is "eighty-three million, seven hundred twenty thousand, seven hundred thirty-six".