47772240 has 80 divisors (see below), whose sum is σ = 152894976. Its totient is φ = 12326400.

The previous prime is 47772233. The next prime is 47772287. The reversal of 47772240 is 4227774.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4230 + ... + 10650.

Almost surely, 2^47772240 is an apocalyptic number.

47772240 is a gapful number since it is divisible by the number (40) 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 47772240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76447488).

47772240 is an abundant number, since it is smaller than the sum of its proper divisors (105122736).

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

47772240 is a wasteful number, since it uses less digits than its factorization.

47772240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6468 (or 6462 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 33.

The square root of 47772240 is about 6911.7465231300. The cubic root of 47772240 is about 362.8483911809.

The spelling of 47772240 in words is "forty-seven million, seven hundred seventy-two thousand, two hundred forty".