14972760 has 192 divisors, whose sum is σ = 56160000. Its totient is φ = 3421440.

The previous prime is 14972759. The next prime is 14972761. The reversal of 14972760 is 6727941.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14972759) and next prime (14972761).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14972761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75141 + ... + 75339.

It is an arithmetic number, because the mean of its divisors is an integer number (292500).

Almost surely, 2^14972760 is an apocalyptic number.

14972760 is a gapful number since it is divisible by the number (10) 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 14972760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28080000).

14972760 is an abundant number, since it is smaller than the sum of its proper divisors (41187240).

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

14972760 is a wasteful number, since it uses less digits than its factorization.

14972760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 14972760 is about 3869.4650793101. The cubic root of 14972760 is about 246.4718289352.

The spelling of 14972760 in words is "fourteen million, nine hundred seventy-two thousand, seven hundred sixty".