47770272 has 144 divisors (see below), whose sum is σ = 157090752. Its totient is φ = 13608960.

The previous prime is 47770271. The next prime is 47770277. The reversal of 47770272 is 27207774.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (47770271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53413 + ... + 54299.

It is an arithmetic number, because the mean of its divisors is an integer number (1090908).

Almost surely, 2^47770272 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 47770272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78545376).

47770272 is an abundant number, since it is smaller than the sum of its proper divisors (109320480).

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

47770272 is a wasteful number, since it uses less digits than its factorization.

47770272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 36.

The square root of 47770272 is about 6911.6041553318. The cubic root of 47770272 is about 362.8434085422.

It can be divided in two parts, 477702 and 72, that added together give a palindrome (477774).

The spelling of 47770272 in words is "forty-seven million, seven hundred seventy thousand, two hundred seventy-two".