145987072 has 180 divisors, whose sum is σ = 386951796. Its totient is φ = 54405120.

The previous prime is 145987067. The next prime is 145987097. The reversal of 145987072 is 270789541.

It is a super-3 number, since 3×145987072³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6347253 + ... + 6347275.

Almost surely, 2^145987072 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 145987072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193475898).

145987072 is an abundant number, since it is smaller than the sum of its proper divisors (240964724).

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

145987072 is an equidigital number, since it uses as much as digits as its factorization.

145987072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 43.

The square root of 145987072 is about 12082.5109973052. The cubic root of 145987072 is about 526.5482003126.

The spelling of 145987072 in words is "one hundred forty-five million, nine hundred eighty-seven thousand, seventy-two".