45276192 has 192 divisors, whose sum is σ = 148176000. Its totient is φ = 13353984.

The previous prime is 45276173. The next prime is 45276211. The reversal of 45276192 is 29167254.

It is an interprime number because it is at equal distance from previous prime (45276173) and next prime (45276211).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 325659 + ... + 325797.

It is an arithmetic number, because the mean of its divisors is an integer number (771750).

Almost surely, 2^45276192 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 45276192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74088000).

45276192 is an abundant number, since it is smaller than the sum of its proper divisors (102899808).

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

45276192 is a wasteful number, since it uses less digits than its factorization.

45276192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 45276192 is about 6728.7585779251. The cubic root of 45276192 is about 356.4155396868.

The spelling of 45276192 in words is "forty-five million, two hundred seventy-six thousand, one hundred ninety-two".