145772 has 12 divisors (see below), whose sum is σ = 278376. Its totient is φ = 66240.

The previous prime is 145771. The next prime is 145777. The reversal of 145772 is 277541.

145772 = T₉₈ + T₉₉ + ... + T₁₂₁.

145772 is nontrivially palindromic in base 15.

145772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

145772 is an undulating number in base 15.

It is not an unprimeable number, because it can be changed into a prime (145771) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1613 + ... + 1700.

It is an arithmetic number, because the mean of its divisors is an integer number (23198).

2¹⁴⁵⁷⁷² is an apocalyptic number.

It is an amenable number.

145772 is a deficient number, since it is larger than the sum of its proper divisors (132604).

145772 is a wasteful number, since it uses less digits than its factorization.

145772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328 (or 3326 counting only the distinct ones).

The product of its digits is 1960, while the sum is 26.

The square root of 145772 is about 381.8009952842. The cubic root of 145772 is about 52.6289498336.

Subtracting 145772 from its reverse (277541), we obtain a square (131769 = 363²).

It can be divided in two parts, 14 and 5772, that multiplied together give a palindrome (80808).

The spelling of 145772 in words is "one hundred forty-five thousand, seven hundred seventy-two".