47382720 has 224 divisors, whose sum is σ = 187854336. Its totient is φ = 9830400.

The previous prime is 47382719. The next prime is 47382733. The reversal of 47382720 is 2728374.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 73600 + ... + 74240.

Almost surely, 2^47382720 is an apocalyptic number.

47382720 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 47382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93927168).

47382720 is an abundant number, since it is smaller than the sum of its proper divisors (140471616).

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

47382720 is a wasteful number, since it uses less digits than its factorization.

47382720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 47382720 is about 6883.5107321773. The cubic root of 47382720 is about 361.8595142833.

The spelling of 47382720 in words is "forty-seven million, three hundred eighty-two thousand, seven hundred twenty".