13972500 has 180 divisors, whose sum is σ = 47759712. Its totient is φ = 3564000.

The previous prime is 13972481. The next prime is 13972507. The reversal of 13972500 is 527931.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13972507) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 607489 + ... + 607511.

Almost surely, 2^13972500 is an apocalyptic number.

13972500 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 13972500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23879856).

13972500 is an abundant number, since it is smaller than the sum of its proper divisors (33787212).

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

13972500 is an equidigital number, since it uses as much as digits as its factorization.

13972500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 13972500 is about 3737.9807383131. The cubic root of 13972500 is about 240.8563160447.

The spelling of 13972500 in words is "thirteen million, nine hundred seventy-two thousand, five hundred".