45732192 has 144 divisors (see below), whose sum is σ = 137281536. Its totient is φ = 13305600.

The previous prime is 45732187. The next prime is 45732199. The reversal of 45732192 is 29123754.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45732199) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360033 + ... + 360159.

It is an arithmetic number, because the mean of its divisors is an integer number (953344).

Almost surely, 2^45732192 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 45732192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68640768).

45732192 is an abundant number, since it is smaller than the sum of its proper divisors (91549344).

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

45732192 is a wasteful number, since it uses less digits than its factorization.

45732192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 174 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 45732192 is about 6762.5580958688. The cubic root of 45732192 is about 357.6080935463.

It can be divided in two parts, 45 and 732192, that added together give a palindrome (732237).

The spelling of 45732192 in words is "forty-five million, seven hundred thirty-two thousand, one hundred ninety-two".