672357504 has 256 divisors, whose sum is σ = 2237276160. Its totient is φ = 174182400.

The previous prime is 672357487. The next prime is 672357509. The reversal of 672357504 is 405753276.

It is a super-2 number, since 2×672357504² = 904129226370220032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (672357509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2480889 + ... + 2481159.

It is an arithmetic number, because the mean of its divisors is an integer number (8739360).

Almost surely, 2^672357504 is an apocalyptic number.

672357504 is a gapful number since it is divisible by the number (64) 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 672357504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118638080).

672357504 is an abundant number, since it is smaller than the sum of its proper divisors (1564918656).

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

672357504 is a wasteful number, since it uses less digits than its factorization.

672357504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 39.

The square root of 672357504 is about 25929.8573848758. The cubic root of 672357504 is about 876.0591273866.

The spelling of 672357504 in words is "six hundred seventy-two million, three hundred fifty-seven thousand, five hundred four".