47772340 has 96 divisors (see below), whose sum is σ = 127217664. Its totient is φ = 14636160.

The previous prime is 47772337. The next prime is 47772341. The reversal of 47772340 is 4327774.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 47772296 and 47772305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47772341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102949 + ... + 103411.

It is an arithmetic number, because the mean of its divisors is an integer number (1325184).

Almost surely, 2^47772340 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 47772340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63608832).

47772340 is an abundant number, since it is smaller than the sum of its proper divisors (79445324).

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

47772340 is a wasteful number, since it uses less digits than its factorization.

47772340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 34.

The square root of 47772340 is about 6911.7537571878. The cubic root of 47772340 is about 362.8486443602.

It can be divided in two parts, 4777 and 2340, that added together give a palindrome (7117).

The spelling of 47772340 in words is "forty-seven million, seven hundred seventy-two thousand, three hundred forty".