672924001 has 16 divisors (see below), whose sum is σ = 696917200. Its totient is φ = 649451520.

The previous prime is 672923989. The next prime is 672924047. The reversal of 672924001 is 100429276.

It can be written as a sum of positive squares in 8 ways, for example, as 87235600 + 585688401 = 9340^2 + 24201^2 .

It is a cyclic number.

It is not a de Polignac number, because 672924001 - 2¹³ = 672915809 is a prime.

It is a super-2 number, since 2×672924001² = 905653422243696002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (672924401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1553881 + ... + 1554313.

It is an arithmetic number, because the mean of its divisors is an integer number (43557325).

Almost surely, 2^672924001 is an apocalyptic number.

672924001 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

672924001 is a deficient number, since it is larger than the sum of its proper divisors (23993199).

672924001 is a wasteful number, since it uses less digits than its factorization.

672924001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916.

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 672924001 is about 25940.7787277098. The cubic root of 672924001 is about 876.3051004726.

The spelling of 672924001 in words is "six hundred seventy-two million, nine hundred twenty-four thousand, one".