672737940 has 576 divisors, whose sum is σ = 2765145600. Its totient is φ = 132378624.

The previous prime is 672737927. The next prime is 672737941. The reversal of 672737940 is 49737276.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672737941) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 23197846 + ... + 23197874.

It is an arithmetic number, because the mean of its divisors is an integer number (4800600).

Almost surely, 2^672737940 is an apocalyptic number.

672737940 is a gapful number since it is divisible by the number (60) 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 672737940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382572800).

672737940 is an abundant number, since it is smaller than the sum of its proper divisors (2092407660).

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

672737940 is a wasteful number, since it uses less digits than its factorization.

672737940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 672737940 is about 25937.1922150413. The cubic root of 672737940 is about 876.2243279869.

The spelling of 672737940 in words is "six hundred seventy-two million, seven hundred thirty-seven thousand, nine hundred forty".