83745072 has 60 divisors (see below), whose sum is σ = 238366440. Its totient is φ = 27439104.

The previous prime is 83745031. The next prime is 83745073. The reversal of 83745072 is 27054738.

83745072 is a `hidden beast` number, since 83 + 74 + 507 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (83745073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3568 + ... + 13424.

It is an arithmetic number, because the mean of its divisors is an integer number (3972774).

Almost surely, 2^83745072 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 83745072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119183220).

83745072 is an abundant number, since it is smaller than the sum of its proper divisors (154621368).

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

83745072 is a wasteful number, since it uses less digits than its factorization.

83745072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9930 (or 9921 counting only the distinct ones).

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

The square root of 83745072 is about 9151.2333594986. The cubic root of 83745072 is about 437.5084245453.

The spelling of 83745072 in words is "eighty-three million, seven hundred forty-five thousand, seventy-two".