18761472 has 108 divisors (see below), whose sum is σ = 57395520. Its totient is φ = 5873664.

The previous prime is 18761461. The next prime is 18761513. The reversal of 18761472 is 27416781.

18761472 is a `hidden beast` number, since 187 + 6 + 1 + 472 = 666.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38929 + ... + 39407.

It is an arithmetic number, because the mean of its divisors is an integer number (531440).

Almost surely, 2^18761472 is an apocalyptic number.

18761472 is a gapful number since it is divisible by the number (12) 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 18761472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28697760).

18761472 is an abundant number, since it is smaller than the sum of its proper divisors (38634048).

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

18761472 is a wasteful number, since it uses less digits than its factorization.

18761472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 501 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 18761472 is about 4331.4514888199. The cubic root of 18761472 is about 265.7188126675.

The spelling of 18761472 in words is "eighteen million, seven hundred sixty-one thousand, four hundred seventy-two".