472752720 has 320 divisors, whose sum is σ = 1803098880. Its totient is φ = 112896000.

The previous prime is 472752703. The next prime is 472752767. The reversal of 472752720 is 27257274.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2399662 + ... + 2399858.

It is an arithmetic number, because the mean of its divisors is an integer number (5634684).

Almost surely, 2^472752720 is an apocalyptic number.

472752720 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 472752720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901549440).

472752720 is an abundant number, since it is smaller than the sum of its proper divisors (1330346160).

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

472752720 is a wasteful number, since it uses less digits than its factorization.

472752720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 472752720 is about 21742.8774544677. The cubic root of 472752720 is about 779.0129526559.

The spelling of 472752720 in words is "four hundred seventy-two million, seven hundred fifty-two thousand, seven hundred twenty".