83547072 has 112 divisors (see below), whose sum is σ = 280741120. Its totient is φ = 23867136.

The previous prime is 83547067. The next prime is 83547089. The reversal of 83547072 is 27074538.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×83547072² = 13960226479546368, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8643 + ... + 15549.

Almost surely, 2^83547072 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 83547072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140370560).

83547072 is an abundant number, since it is smaller than the sum of its proper divisors (197194048).

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

83547072 is a wasteful number, since it uses less digits than its factorization.

83547072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6935 (or 6919 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 83547072 is about 9140.4087435957. The cubic root of 83547072 is about 437.1633493991.

The spelling of 83547072 in words is "eighty-three million, five hundred forty-seven thousand, seventy-two".