42672288 has 48 divisors (see below), whose sum is σ = 112432320. Its totient is φ = 14171136.

The previous prime is 42672269. The next prime is 42672293. The reversal of 42672288 is 88227624.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31693 + ... + 33011.

It is an arithmetic number, because the mean of its divisors is an integer number (2342340).

Almost surely, 2^42672288 is an apocalyptic number.

42672288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42672288 is an abundant number, since it is smaller than the sum of its proper divisors (69760032).

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

42672288 is a wasteful number, since it uses less digits than its factorization.

42672288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1661 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 42672288 is about 6532.4029269481. The cubic root of 42672288 is about 349.4475311175.

It can be divided in two parts, 4267 and 2288, that added together give a triangular number (6555 = T₁₁₄).

The spelling of 42672288 in words is "forty-two million, six hundred seventy-two thousand, two hundred eighty-eight".