145072896 has 72 divisors (see below), whose sum is σ = 389872560. Its totient is φ = 47886336.

The previous prime is 145072871. The next prime is 145072897. The reversal of 145072896 is 698270541.

145072896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145072896² = 42092290307653632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145072897) 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, 82846 + ... + 84578.

Almost surely, 2^145072896 is an apocalyptic number.

145072896 is a gapful number since it is divisible by the number (16) 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 145072896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194936280).

145072896 is an abundant number, since it is smaller than the sum of its proper divisors (244799664).

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

145072896 is a wasteful number, since it uses less digits than its factorization.

145072896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 145072896 is about 12044.6210401158. The cubic root of 145072896 is about 525.4468105558.

The spelling of 145072896 in words is "one hundred forty-five million, seventy-two thousand, eight hundred ninety-six".