672111540 has 192 divisors, whose sum is σ = 2184537600. Its totient is φ = 171343872.

The previous prime is 672111521. The next prime is 672111547. The reversal of 672111540 is 45111276.

It is a happy number.

672111540 is a `hidden beast` number, since 6 + 7 + 2 + 111 + 540 = 666.

672111540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672111547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2615092 + ... + 2615348.

It is an arithmetic number, because the mean of its divisors is an integer number (11377800).

Almost surely, 2^672111540 is an apocalyptic number.

672111540 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 672111540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092268800).

672111540 is an abundant number, since it is smaller than the sum of its proper divisors (1512426060).

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

672111540 is a wasteful number, since it uses less digits than its factorization.

672111540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 672111540 is about 25925.1140788233. The cubic root of 672111540 is about 875.9522867613.

The spelling of 672111540 in words is "six hundred seventy-two million, one hundred eleven thousand, five hundred forty".