47970720 has 144 divisors (see below), whose sum is σ = 187125120. Its totient is φ = 10962432.

The previous prime is 47970679. The next prime is 47970721. The reversal of 47970720 is 2707974.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (47970721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7701 + ... + 12459.

It is an arithmetic number, because the mean of its divisors is an integer number (1299480).

Almost surely, 2^47970720 is an apocalyptic number.

47970720 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 47970720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93562560).

47970720 is an abundant number, since it is smaller than the sum of its proper divisors (139154400).

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

47970720 is a wasteful number, since it uses less digits than its factorization.

47970720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4787 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 47970720 is about 6926.0898059439. The cubic root of 47970720 is about 363.3502072983.

The spelling of 47970720 in words is "forty-seven million, nine hundred seventy thousand, seven hundred twenty".