672361560 has 384 divisors, whose sum is σ = 2592233280. Its totient is φ = 155271168.

The previous prime is 672361541. The next prime is 672361579. The reversal of 672361560 is 65163276.

672361560 is a `hidden beast` number, since 67 + 2 + 36 + 1 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (672361541) and next prime (672361579).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2147964 + ... + 2148276.

Almost surely, 2^672361560 is an apocalyptic number.

672361560 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 672361560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296116640).

672361560 is an abundant number, since it is smaller than the sum of its proper divisors (1919871720).

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

672361560 is a wasteful number, since it uses less digits than its factorization.

672361560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 672361560 is about 25929.9355957550. The cubic root of 672361560 is about 876.0608889934.

The spelling of 672361560 in words is "six hundred seventy-two million, three hundred sixty-one thousand, five hundred sixty".