47796672 has 224 divisors, whose sum is σ = 163275264. Its totient is φ = 11980800.

The previous prime is 47796631. The next prime is 47796689. The reversal of 47796672 is 27669774.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (889056) is a multiple of the sum of its prime factors (147).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 783522 + ... + 783582.

Almost surely, 2^47796672 is an apocalyptic number.

47796672 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 47796672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81637632).

47796672 is an abundant number, since it is smaller than the sum of its proper divisors (115478592).

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

47796672 is a wasteful number, since it uses less digits than its factorization.

47796672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its digits is 889056, while the sum is 48.

The square root of 47796672 is about 6913.5137231367. The cubic root of 47796672 is about 362.9102374264.

The spelling of 47796672 in words is "forty-seven million, seven hundred ninety-six thousand, six hundred seventy-two".