145872 has 30 divisors (see below), whose sum is σ = 408642. Its totient is φ = 48576.

The previous prime is 145861. The next prime is 145879. The reversal of 145872 is 278541.

It can be written as a sum of positive squares in only one way, i.e., 76176 + 69696 = 276^2 + 264^2 .

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 145872.

It is not an unprimeable number, because it can be changed into a prime (145879) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 363 + ... + 650.

2¹⁴⁵⁸⁷² is an apocalyptic number.

145872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145872 is an abundant number, since it is smaller than the sum of its proper divisors (262770).

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

145872 is a wasteful number, since it uses less digits than its factorization.

145872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1018 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 145872 is about 381.9319311081. The cubic root of 145872 is about 52.6409816184.

It can be divided in two parts, 1458 and 72, that multiplied together give a 4-th power (104976 = 18⁴).

The spelling of 145872 in words is "one hundred forty-five thousand, eight hundred seventy-two".