672633720 has 288 divisors, whose sum is σ = 2487017520. Its totient is φ = 162362880.

The previous prime is 672633719. The next prime is 672633721. The reversal of 672633720 is 27336276.

It is an interprime number because it is at equal distance from previous prime (672633719) and next prime (672633721).

It is a super-2 number, since 2×672633720² = 904872242562076800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672633721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2886724 + ... + 2886956.

Almost surely, 2^672633720 is an apocalyptic number.

672633720 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 672633720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243508760).

672633720 is an abundant number, since it is smaller than the sum of its proper divisors (1814383800).

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

672633720 is a wasteful number, since it uses less digits than its factorization.

672633720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 672633720 is about 25935.1830531423. The cubic root of 672633720 is about 876.1790776696.

Adding to 672633720 its reverse (27336276), we get a palindrome (699969996).

The spelling of 672633720 in words is "six hundred seventy-two million, six hundred thirty-three thousand, seven hundred twenty".