83721600 has 480 divisors, whose sum is σ = 344341800. Its totient is φ = 19906560.

The previous prime is 83721577. The next prime is 83721601. The reversal of 83721600 is 612738.

83721600 is a `hidden beast` number, since 8 + 37 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83721601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4406391 + ... + 4406409.

Almost surely, 2^83721600 is an apocalyptic number.

83721600 is a gapful number since it is divisible by the number (80) 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 83721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172170900).

83721600 is an abundant number, since it is smaller than the sum of its proper divisors (260620200).

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

83721600 is a wasteful number, since it uses less digits than its factorization.

83721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 83721600 is about 9149.9508195400. The cubic root of 83721600 is about 437.4675458919.

The spelling of 83721600 in words is "eighty-three million, seven hundred twenty-one thousand, six hundred".