83721528 has 96 divisors (see below), whose sum is σ = 254133360. Its totient is φ = 24675840.

The previous prime is 83721509. The next prime is 83721529. The reversal of 83721528 is 82512738.

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

It is a junction number, because it is equal to n+sod(n) for n = 83721492 and 83721501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83721529) 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 23 ways as a sum of consecutive naturals, for example, 27876 + ... + 30732.

Almost surely, 2^83721528 is an apocalyptic number.

83721528 is a gapful number since it is divisible by the number (88) 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 83721528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127066680).

83721528 is an abundant number, since it is smaller than the sum of its proper divisors (170411832).

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

83721528 is a wasteful number, since it uses less digits than its factorization.

83721528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917 (or 2910 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 83721528 is about 9149.9468850917. The cubic root of 83721528 is about 437.4674204855.

The spelling of 83721528 in words is "eighty-three million, seven hundred twenty-one thousand, five hundred twenty-eight".