145120272 has 80 divisors (see below), whose sum is σ = 411402240. Its totient is φ = 43715200.

The previous prime is 145120267. The next prime is 145120273. The reversal of 145120272 is 272021541.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145120273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100129 + ... + 101567.

It is an arithmetic number, because the mean of its divisors is an integer number (5142528).

Almost surely, 2^145120272 is an apocalyptic number.

145120272 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 145120272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205701120).

145120272 is an abundant number, since it is smaller than the sum of its proper divisors (266281968).

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

145120272 is a wasteful number, since it uses less digits than its factorization.

145120272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 145120272 is about 12046.5875666099. The cubic root of 145120272 is about 525.5040021688.

The spelling of 145120272 in words is "one hundred forty-five million, one hundred twenty thousand, two hundred seventy-two".