47772656 has 40 divisors (see below), whose sum is σ = 98862720. Its totient is φ = 22309056.

The previous prime is 47772653. The next prime is 47772691. The reversal of 47772656 is 65627774.

It is a super-2 number, since 2×47772656² = 4564453322588672, which contains 22 as substring.

Its product of digits (493920) is a multiple of the sum of its prime divisors (3087).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47772653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14315 + ... + 17333.

It is an arithmetic number, because the mean of its divisors is an integer number (2471568).

Almost surely, 2^47772656 is an apocalyptic number.

47772656 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

47772656 is the 3695-th centered heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47772656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49431360).

47772656 is an abundant number, since it is smaller than the sum of its proper divisors (51090064).

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

47772656 is a wasteful number, since it uses less digits than its factorization.

47772656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093 (or 3087 counting only the distinct ones).

The product of its digits is 493920, while the sum is 44.

The square root of 47772656 is about 6911.7766167607. The cubic root of 47772656 is about 362.8494444041.

The spelling of 47772656 in words is "forty-seven million, seven hundred seventy-two thousand, six hundred fifty-six".