45729720 has 96 divisors (see below), whose sum is σ = 151210800. Its totient is φ = 11982336.

The previous prime is 45729709. The next prime is 45729721. The reversal of 45729720 is 2792754.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45729721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20164 + ... + 22316.

Almost surely, 2^45729720 is an apocalyptic number.

45729720 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 45729720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75605400).

45729720 is an abundant number, since it is smaller than the sum of its proper divisors (105481080).

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

45729720 is a wasteful number, since it uses less digits than its factorization.

45729720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 45729720 is about 6762.3753223257. The cubic root of 45729720 is about 357.6016500682.

The spelling of 45729720 in words is "forty-five million, seven hundred twenty-nine thousand, seven hundred twenty".