14977872 has 200 divisors, whose sum is σ = 53774336. Its totient is φ = 3919104.

The previous prime is 14977843. The next prime is 14977873. The reversal of 14977872 is 27877941.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14977873) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 117873 + ... + 117999.

Almost surely, 2^14977872 is an apocalyptic number.

14977872 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 14977872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26887168).

14977872 is an abundant number, since it is smaller than the sum of its proper divisors (38796464).

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

14977872 is a wasteful number, since it uses less digits than its factorization.

14977872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 152 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The square root of 14977872 is about 3870.1255793579. The cubic root of 14977872 is about 246.4998758823.

The spelling of 14977872 in words is "fourteen million, nine hundred seventy-seven thousand, eight hundred seventy-two".