145072824 has 64 divisors (see below), whose sum is σ = 391789440. Its totient is φ = 44499840.

The previous prime is 145072817. The next prime is 145072861. The reversal of 145072824 is 428270541.

It is a super-2 number, since 2×145072824² = 42092248526669952, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152719 + ... + 153665.

It is an arithmetic number, because the mean of its divisors is an integer number (6121710).

Almost surely, 2^145072824 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 145072824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195894720).

145072824 is an abundant number, since it is smaller than the sum of its proper divisors (246716616).

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

145072824 is a wasteful number, since it uses less digits than its factorization.

145072824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 145072824 is about 12044.6180512294. The cubic root of 145072824 is about 525.4467236290.

The spelling of 145072824 in words is "one hundred forty-five million, seventy-two thousand, eight hundred twenty-four".