47505120 has 192 divisors, whose sum is σ = 168666624. Its totient is φ = 11151360.

The previous prime is 47505091. The next prime is 47505169. The reversal of 47505120 is 2150574.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143355 + ... + 143685.

It is an arithmetic number, because the mean of its divisors is an integer number (878472).

Almost surely, 2^47505120 is an apocalyptic number.

47505120 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 47505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84333312).

47505120 is an abundant number, since it is smaller than the sum of its proper divisors (121161504).

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

47505120 is a wasteful number, since it uses less digits than its factorization.

47505120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 47505120 is about 6892.3958098763. The cubic root of 47505120 is about 362.1708339716.

Adding to 47505120 its reverse (2150574), we get a palindrome (49655694).

It can be divided in two parts, 4750 and 5120, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 47505120 in words is "forty-seven million, five hundred five thousand, one hundred twenty".