45336720 has 160 divisors (see below), whose sum is σ = 165239424. Its totient is φ = 10137600.

The previous prime is 45336691. The next prime is 45336727. The reversal of 45336720 is 2763354.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45336727) 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 31 ways as a sum of consecutive naturals, for example, 33660 + ... + 34980.

Almost surely, 2^45336720 is an apocalyptic number.

45336720 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 45336720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82619712).

45336720 is an abundant number, since it is smaller than the sum of its proper divisors (119902704).

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

45336720 is a wasteful number, since it uses less digits than its factorization.

45336720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 45336720 is about 6733.2547850204. The cubic root of 45336720 is about 356.5742950395.

It can be divided in two parts, 45336 and 720, that added together give a triangular number (46056 = T₃₀₃).

The spelling of 45336720 in words is "forty-five million, three hundred thirty-six thousand, seven hundred twenty".