47532672 has 192 divisors, whose sum is σ = 155301120. Its totient is φ = 13939200.

The previous prime is 47532647. The next prime is 47532691. The reversal of 47532672 is 27623574.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

Its product of digits (70560) is a multiple of the sum of its prime factors (84).

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, 1533297 + ... + 1533327.

It is an arithmetic number, because the mean of its divisors is an integer number (808860).

Almost surely, 2^47532672 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 47532672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77650560).

47532672 is an abundant number, since it is smaller than the sum of its proper divisors (107768448).

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

47532672 is a wasteful number, since it uses less digits than its factorization.

47532672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 47 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 47532672 is about 6894.3942446019. The cubic root of 47532672 is about 362.2408376703.

The spelling of 47532672 in words is "forty-seven million, five hundred thirty-two thousand, six hundred seventy-two".