42672672 has 144 divisors (see below), whose sum is σ = 141365952. Its totient is φ = 11957760.

The previous prime is 42672671. The next prime is 42672691. The reversal of 42672672 is 27627624.

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 a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42672671) 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, 122803 + ... + 123149.

It is an arithmetic number, because the mean of its divisors is an integer number (981708).

Almost surely, 2^42672672 is an apocalyptic number.

42672672 is a gapful number since it is divisible by the number (42) 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 42672672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70682976).

42672672 is an abundant number, since it is smaller than the sum of its proper divisors (98693280).

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

42672672 is a wasteful number, since it uses less digits than its factorization.

42672672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 420 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 42672672 is about 6532.4323188228. The cubic root of 42672672 is about 349.4485793188.

The spelling of 42672672 in words is "forty-two million, six hundred seventy-two thousand, six hundred seventy-two".