45729936 has 90 divisors (see below), whose sum is σ = 148898022. Its totient is φ = 13063680.

The previous prime is 45729923. The next prime is 45729947. The reversal of 45729936 is 63992754.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 45158400 + 571536 = 6720^2 + 756^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45729891 and 45729900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3816 + ... + 10296.

Almost surely, 2^45729936 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 45729936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74449011).

45729936 is an abundant number, since it is smaller than the sum of its proper divisors (103168086).

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

45729936 is a wasteful number, since it uses less digits than its factorization.

45729936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6509 (or 6493 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 45729936 is about 6762.3912930265. The cubic root of 45729936 is about 357.6022130998.

It can be divided in two parts, 45729 and 936, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 45729936 in words is "forty-five million, seven hundred twenty-nine thousand, nine hundred thirty-six".