13725172992 has 72 divisors (see below), whose sum is σ = 36659548800. Its totient is φ = 4558704640.

The previous prime is 13725172991. The next prime is 13725172999. The reversal of 13725172992 is 29927152731.

It is a super-3 number, since 3×13725172992³ (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13725172991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184009 + ... + 247607.

It is an arithmetic number, because the mean of its divisors is an integer number (509160400).

Almost surely, 2^13725172992 is an apocalyptic number.

13725172992 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 13725172992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18329774400).

13725172992 is an abundant number, since it is smaller than the sum of its proper divisors (22934375808).

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

13725172992 is an equidigital number, since it uses as much as digits as its factorization.

13725172992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63899 (or 63885 counting only the distinct ones).

The product of its digits is 476280, while the sum is 48.

The spelling of 13725172992 in words is "thirteen billion, seven hundred twenty-five million, one hundred seventy-two thousand, nine hundred ninety-two".