149072 has 40 divisors (see below), whose sum is σ = 363072. Its totient is φ = 58080.

The previous prime is 149069. The next prime is 149077. The reversal of 149072 is 270941.

It is a super-2 number, since 2×149072² = 44444922368, which contains 22 as substring.

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

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13547 + ... + 13557.

2¹⁴⁹⁰⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181536).

149072 is an abundant number, since it is smaller than the sum of its proper divisors (214000).

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

149072 is an equidigital number, since it uses as much as digits as its factorization.

149072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 149072 is about 386.0984330453. The cubic root of 149072 is about 53.0231298119.

The spelling of 149072 in words is "one hundred forty-nine thousand, seventy-two".