83537072 has 40 divisors (see below), whose sum is σ = 171149760. Its totient is φ = 39389760.

The previous prime is 83537071. The next prime is 83537087. The reversal of 83537072 is 27073538.

It is not an unprimeable number, because it can be changed into a prime (83537071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85547 + ... + 86517.

It is an arithmetic number, because the mean of its divisors is an integer number (4278744).

Almost surely, 2^83537072 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 83537072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85574880).

83537072 is an abundant number, since it is smaller than the sum of its proper divisors (87612688).

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

83537072 is a wasteful number, since it uses less digits than its factorization.

83537072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 83537072 is about 9139.8617057371. The cubic root of 83537072 is about 437.1459069050.

The spelling of 83537072 in words is "eighty-three million, five hundred thirty-seven thousand, seventy-two".