101472 has 48 divisors (see below), whose sum is σ = 306432. Its totient is φ = 28800.

The previous prime is 101467. The next prime is 101477. The reversal of 101472 is 274101.

It is an interprime number because it is at equal distance from previous prime (101467) and next prime (101477).

It is a tau number, because it is divible by the number of its divisors (48).

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101477) by changing a digit.

101472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 597 + ... + 747.

It is an arithmetic number, because the mean of its divisors is an integer number (6384).

2¹⁰¹⁴⁷² is an apocalyptic number.

101472 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 101472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153216).

101472 is an abundant number, since it is smaller than the sum of its proper divisors (204960).

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

101472 is a wasteful number, since it uses less digits than its factorization.

101472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 101472 is about 318.5466998730. The cubic root of 101472 is about 46.6425271980.

Adding to 101472 its reverse (274101), we get a palindrome (375573).

The spelling of 101472 in words is "one hundred one thousand, four hundred seventy-two", and thus it is an iban number.