672531135276 has 192 divisors, whose sum is σ = 2124368096256. Its totient is φ = 161245877760.

The previous prime is 672531135239. The next prime is 672531135359.

672531135276 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1222096 + ... + 1684808.

It is an arithmetic number, because the mean of its divisors is an integer number (11064417168).

Almost surely, 2^672531135276 is an apocalyptic number.

672531135276 is a gapful number since it is divisible by the number (66) 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 672531135276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062184048128).

672531135276 is an abundant number, since it is smaller than the sum of its proper divisors (1451836960980).

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

672531135276 is a wasteful number, since it uses less digits than its factorization.

672531135276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462773 (or 462749 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 48.

The spelling of 672531135276 in words is "six hundred seventy-two billion, five hundred thirty-one million, one hundred thirty-five thousand, two hundred seventy-six".