45729792 has 96 divisors (see below), whose sum is σ = 135626400. Its totient is φ = 15224832.

The previous prime is 45729757. The next prime is 45729797. The reversal of 45729792 is 29792754.

45729792 is a `hidden beast` number, since 4 + 572 + 9 + 79 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (45729797) 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, 54883 + ... + 55709.

It is an arithmetic number, because the mean of its divisors is an integer number (1412775).

Almost surely, 2^45729792 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 45729792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67813200).

45729792 is an abundant number, since it is smaller than the sum of its proper divisors (89896608).

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

45729792 is an equidigital number, since it uses as much as digits as its factorization.

45729792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 832 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 45729792 is about 6762.3806458968. The cubic root of 45729792 is about 357.6018377456.

The spelling of 45729792 in words is "forty-five million, seven hundred twenty-nine thousand, seven hundred ninety-two".