149472 has 48 divisors (see below), whose sum is σ = 438480. Its totient is φ = 49536.

The previous prime is 149459. The next prime is 149489. The reversal of 149472 is 274941.

It is a happy number.

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

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

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

It is a congruent number.

It is an unprimeable number.

149472 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, 778 + ... + 950.

It is an arithmetic number, because the mean of its divisors is an integer number (9135).

2¹⁴⁹⁴⁷² is an apocalyptic number.

149472 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 149472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219240).

149472 is an abundant number, since it is smaller than the sum of its proper divisors (289008).

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

149472 is a wasteful number, since it uses less digits than its factorization.

149472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 149472 is about 386.6160886461. The cubic root of 149472 is about 53.0705125310.

Subtracting from 149472 its product of digits (2016), we obtain a square (147456 = 384²).

The spelling of 149472 in words is "one hundred forty-nine thousand, four hundred seventy-two".