672215040 has 312 divisors, whose sum is σ = 2668038048. Its totient is φ = 153354240.

The previous prime is 672215039. The next prime is 672215051. The reversal of 672215040 is 40512276.

It is a junction number, because it is equal to n+sod(n) for n = 672214995 and 672215013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1289980 + ... + 1290500.

It is an arithmetic number, because the mean of its divisors is an integer number (8551404).

Almost surely, 2^672215040 is an apocalyptic number.

672215040 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 672215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334019024).

672215040 is an abundant number, since it is smaller than the sum of its proper divisors (1995823008).

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

672215040 is a wasteful number, since it uses less digits than its factorization.

672215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 672215040 is about 25927.1101359176. The cubic root of 672215040 is about 875.9972477552.

The spelling of 672215040 in words is "six hundred seventy-two million, two hundred fifteen thousand, forty".