47001672 has 96 divisors (see below), whose sum is σ = 132046200. Its totient is φ = 15095808.

The previous prime is 47001667. The next prime is 47001697. The reversal of 47001672 is 27610074.

It can be written as a sum of positive squares in 4 ways, for example, as 36072036 + 10929636 = 6006^2 + 3306^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415888 + ... + 416000.

Almost surely, 2^47001672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47001672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66023100).

47001672 is an abundant number, since it is smaller than the sum of its proper divisors (85044528).

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

47001672 is a wasteful number, since it uses less digits than its factorization.

47001672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 47001672 is about 6855.7765424494. The cubic root of 47001672 is about 360.8868873654.

The spelling of 47001672 in words is "forty-seven million, one thousand, six hundred seventy-two".