672141288 has 128 divisors (see below), whose sum is σ = 2078334720. Its totient is φ = 176394240.

The previous prime is 672141269. The next prime is 672141293. The reversal of 672141288 is 882141276.

It is a happy number.

It is a super-2 number, since 2×672141288² = 903547822068597888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 525706 + ... + 526982.

It is an arithmetic number, because the mean of its divisors is an integer number (16236990).

Almost surely, 2^672141288 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 672141288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039167360).

672141288 is an abundant number, since it is smaller than the sum of its proper divisors (1406193432).

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

672141288 is a wasteful number, since it uses less digits than its factorization.

672141288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1543 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 672141288 is about 25925.6878018694. The cubic root of 672141288 is about 875.9652099359.

It can be divided in two parts, 672 and 141288, that multiplied together give a square (94945536 = 9744²).

The spelling of 672141288 in words is "six hundred seventy-two million, one hundred forty-one thousand, two hundred eighty-eight".