45723120 has 160 divisors (see below), whose sum is σ = 153799680. Its totient is φ = 11197440.

The previous prime is 45723113. The next prime is 45723121. The reversal of 45723120 is 2132754.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45723121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168585 + ... + 168855.

It is an arithmetic number, because the mean of its divisors is an integer number (961248).

Almost surely, 2^45723120 is an apocalyptic number.

45723120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45723120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76899840).

45723120 is an abundant number, since it is smaller than the sum of its proper divisors (108076560).

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

45723120 is a wasteful number, since it uses less digits than its factorization.

45723120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 45723120 is about 6761.8873105073. The cubic root of 45723120 is about 357.5844454695.

Adding to 45723120 its reverse (2132754), we get a palindrome (47855874).

The spelling of 45723120 in words is "forty-five million, seven hundred twenty-three thousand, one hundred twenty".