47772564 has 96 divisors (see below), whose sum is σ = 135045120. Its totient is φ = 12849408.

The previous prime is 47772553. The next prime is 47772589. The reversal of 47772564 is 46527774.

It is a super-2 number, since 2×47772564² = 4564435742268192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152472 + ... + 152784.

It is an arithmetic number, because the mean of its divisors is an integer number (1406720).

Almost surely, 2^47772564 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 47772564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67522560).

47772564 is an abundant number, since it is smaller than the sum of its proper divisors (87272556).

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

47772564 is a wasteful number, since it uses less digits than its factorization.

47772564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 427 counting only the distinct ones).

The product of its digits is 329280, while the sum is 42.

The square root of 47772564 is about 6911.7699614498. The cubic root of 47772564 is about 362.8492114803.

The spelling of 47772564 in words is "forty-seven million, seven hundred seventy-two thousand, five hundred sixty-four".