47072880 has 320 divisors, whose sum is σ = 180940800. Its totient is φ = 11197440.

The previous prime is 47072867. The next prime is 47072923. The reversal of 47072880 is 8827074.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1272222 + ... + 1272258.

It is an arithmetic number, because the mean of its divisors is an integer number (565440).

Almost surely, 2^47072880 is an apocalyptic number.

47072880 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 47072880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90470400).

47072880 is an abundant number, since it is smaller than the sum of its proper divisors (133867920).

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

47072880 is a wasteful number, since it uses less digits than its factorization.

47072880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 47072880 is about 6860.9678617525. The cubic root of 47072880 is about 361.0690444795.

The spelling of 47072880 in words is "forty-seven million, seventy-two thousand, eight hundred eighty".