945729720 has 192 divisors, whose sum is σ = 3505057920. Its totient is φ = 219082752.

The previous prime is 945729667. The next prime is 945729773. The reversal of 945729720 is 27927549.

945729720 is a `hidden beast` number, since 9 + 4 + 572 + 9 + 72 + 0 = 666.

945729720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (945729667) and next prime (945729773).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73617 + ... + 85503.

It is an arithmetic number, because the mean of its divisors is an integer number (18255510).

Almost surely, 2^945729720 is an apocalyptic number.

945729720 is a gapful number since it is divisible by the number (90) 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 945729720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752528960).

945729720 is an abundant number, since it is smaller than the sum of its proper divisors (2559328200).

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

945729720 is a wasteful number, since it uses less digits than its factorization.

945729720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11934 (or 11927 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 945729720 is about 30752.7189041880. The cubic root of 945729720 is about 981.5724166941.

The spelling of 945729720 in words is "nine hundred forty-five million, seven hundred twenty-nine thousand, seven hundred twenty".