145023072 has 48 divisors (see below), whose sum is σ = 384480432. Its totient is φ = 47859200.

The previous prime is 145023071. The next prime is 145023077. The reversal of 145023072 is 270320541.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145023071) 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, 2218 + ... + 17174.

It is an arithmetic number, because the mean of its divisors is an integer number (8010009).

Almost surely, 2^145023072 is an apocalyptic number.

145023072 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 145023072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192240216).

145023072 is an abundant number, since it is smaller than the sum of its proper divisors (239457360).

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

145023072 is a wasteful number, since it uses less digits than its factorization.

145023072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15071 (or 15063 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 145023072 is about 12042.5525533418. The cubic root of 145023072 is about 525.3866503185.

The spelling of 145023072 in words is "one hundred forty-five million, twenty-three thousand, seventy-two".