186421872 has 240 divisors, whose sum is σ = 617222400. Its totient is φ = 48432384.

The previous prime is 186421871. The next prime is 186421897. The reversal of 186421872 is 278124681.

It is a happy number.

It is a super-2 number, since 2×186421872² = 69506228719968768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 186421872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (186421871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2782383 + ... + 2782449.

It is an arithmetic number, because the mean of its divisors is an integer number (2571760).

Almost surely, 2^186421872 is an apocalyptic number.

186421872 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 186421872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308611200).

186421872 is an abundant number, since it is smaller than the sum of its proper divisors (430800528).

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

186421872 is a wasteful number, since it uses less digits than its factorization.

186421872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 92 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 186421872 is about 13653.6395147960. The cubic root of 186421872 is about 571.2579910365.

The spelling of 186421872 in words is "one hundred eighty-six million, four hundred twenty-one thousand, eight hundred seventy-two".