45292772 has 48 divisors (see below), whose sum is σ = 93585408. Its totient is φ = 18779040.

The previous prime is 45292771. The next prime is 45292781. The reversal of 45292772 is 27729254.

45292772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×45292772⁴ (a number of 32 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (45292771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166997 + ... + 167267.

It is an arithmetic number, because the mean of its divisors is an integer number (1949696).

Almost surely, 2^45292772 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 45292772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46792704).

45292772 is an abundant number, since it is smaller than the sum of its proper divisors (48292636).

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

45292772 is a wasteful number, since it uses less digits than its factorization.

45292772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 454 counting only the distinct ones).

The product of its digits is 70560, while the sum is 38.

The square root of 45292772 is about 6729.9904903350. The cubic root of 45292772 is about 356.4590404628.

It can be divided in two parts, 45292 and 772, that added together give a palindrome (46064).

The spelling of 45292772 in words is "forty-five million, two hundred ninety-two thousand, seven hundred seventy-two".