45102720 has 192 divisors, whose sum is σ = 156794400. Its totient is φ = 11022336.

The previous prime is 45102709. The next prime is 45102763. The reversal of 45102720 is 2720154.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324411 + ... + 324549.

Almost surely, 2^45102720 is an apocalyptic number.

45102720 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 45102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78397200).

45102720 is an abundant number, since it is smaller than the sum of its proper divisors (111691680).

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

45102720 is a wasteful number, since it uses less digits than its factorization.

45102720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 45102720 is about 6715.8558650406. The cubic root of 45102720 is about 355.9597648422.

Adding to 45102720 its reverse (2720154), we get a palindrome (47822874).

The spelling of 45102720 in words is "forty-five million, one hundred two thousand, seven hundred twenty".