47712720 has 240 divisors, whose sum is σ = 170989056. Its totient is φ = 10982400.

The previous prime is 47712697. The next prime is 47712733. The reversal of 47712720 is 2721774.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 900214 + ... + 900266.

Almost surely, 2^47712720 is an apocalyptic number.

47712720 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 47712720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85494528).

47712720 is an abundant number, since it is smaller than the sum of its proper divisors (123276336).

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

47712720 is a wasteful number, since it uses less digits than its factorization.

47712720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 30.

The square root of 47712720 is about 6907.4394677044. The cubic root of 47712720 is about 362.6976361841.

The spelling of 47712720 in words is "forty-seven million, seven hundred twelve thousand, seven hundred twenty".