45272832 has 144 divisors (see below), whose sum is σ = 137749248. Its totient is φ = 13066240.

The previous prime is 45272831. The next prime is 45272837. The reversal of 45272832 is 23827254.

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

It is a junction number, because it is equal to n+sod(n) for n = 45272793 and 45272802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45272831) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 194188 + ... + 194420.

It is an arithmetic number, because the mean of its divisors is an integer number (956592).

Almost surely, 2^45272832 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 45272832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68874624).

45272832 is an abundant number, since it is smaller than the sum of its proper divisors (92476416).

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

45272832 is a wasteful number, since it uses less digits than its factorization.

45272832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 272 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 45272832 is about 6728.5088987085. The cubic root of 45272832 is about 356.4067227951.

The spelling of 45272832 in words is "forty-five million, two hundred seventy-two thousand, eight hundred thirty-two".