672513192 has 288 divisors, whose sum is σ = 2158228800. Its totient is φ = 195706368.

The previous prime is 672513167. The next prime is 672513199. The reversal of 672513192 is 291315276.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (672513199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7556284 + ... + 7556372.

It is an arithmetic number, because the mean of its divisors is an integer number (7493850).

Almost surely, 2^672513192 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 672513192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079114400).

672513192 is an abundant number, since it is smaller than the sum of its proper divisors (1485715608).

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

672513192 is a wasteful number, since it uses less digits than its factorization.

672513192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 672513192 is about 25932.8593101494. The cubic root of 672513192 is about 876.1267409039.

The spelling of 672513192 in words is "six hundred seventy-two million, five hundred thirteen thousand, one hundred ninety-two".