47029752 has 192 divisors, whose sum is σ = 168480000. Its totient is φ = 11473920.

The previous prime is 47029721. The next prime is 47029757. The reversal of 47029752 is 25792074.

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

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47029757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93999 + ... + 94497.

It is an arithmetic number, because the mean of its divisors is an integer number (877500).

Almost surely, 2^47029752 is an apocalyptic number.

47029752 is a gapful number since it is divisible by the number (42) 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 47029752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84240000).

47029752 is an abundant number, since it is smaller than the sum of its proper divisors (121450248).

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

47029752 is a wasteful number, since it uses less digits than its factorization.

47029752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 47029752 is about 6857.8241447270. The cubic root of 47029752 is about 360.9587407413.

The spelling of 47029752 in words is "forty-seven million, twenty-nine thousand, seven hundred fifty-two".