155580072 has 64 divisors (see below), whose sum is σ = 406732800. Its totient is φ = 49533120.

The previous prime is 155580071. The next prime is 155580083. The reversal of 155580072 is 270085551.

It is a happy number.

155580072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (155580071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57453 + ... + 60099.

It is an arithmetic number, because the mean of its divisors is an integer number (6355200).

Almost surely, 2^155580072 is an apocalyptic number.

155580072 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 155580072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203366400).

155580072 is an abundant number, since it is smaller than the sum of its proper divisors (251152728).

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

155580072 is a wasteful number, since it uses less digits than its factorization.

155580072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 33.

The square root of 155580072 is about 12473.1740948325. The cubic root of 155580072 is about 537.8378011433.

The spelling of 155580072 in words is "one hundred fifty-five million, five hundred eighty thousand, seventy-two".