47502720 has 128 divisors (see below), whose sum is σ = 168300000. Its totient is φ = 12662784.

The previous prime is 47502691. The next prime is 47502731. The reversal of 47502720 is 2720574.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15906 + ... + 18654.

Almost surely, 2^47502720 is an apocalyptic number.

47502720 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 47502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84150000).

47502720 is an abundant number, since it is smaller than the sum of its proper divisors (120797280).

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

47502720 is a wasteful number, since it uses less digits than its factorization.

47502720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 47502720 is about 6892.2217027603. The cubic root of 47502720 is about 362.1647348070.

The spelling of 47502720 in words is "forty-seven million, five hundred two thousand, seven hundred twenty".