672745920 has 448 divisors, whose sum is σ = 2809036800. Its totient is φ = 132157440.

The previous prime is 672745897. The next prime is 672745933. The reversal of 672745920 is 29547276.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1404241 + ... + 1404719.

Almost surely, 2^672745920 is an apocalyptic number.

672745920 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 672745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404518400).

672745920 is an abundant number, since it is smaller than the sum of its proper divisors (2136290880).

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

672745920 is a wasteful number, since it uses less digits than its factorization.

672745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 672745920 is about 25937.3460477359. The cubic root of 672745920 is about 876.2277925566.

The spelling of 672745920 in words is "six hundred seventy-two million, seven hundred forty-five thousand, nine hundred twenty".