155072416 has 48 divisors (see below), whose sum is σ = 317011968. Its totient is φ = 74592000.

The previous prime is 155072413. The next prime is 155072501. The reversal of 155072416 is 614270551.

155072416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (155072413) 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, 220866 + ... + 221566.

It is an arithmetic number, because the mean of its divisors is an integer number (6604416).

Almost surely, 2^155072416 is an apocalyptic number.

155072416 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 155072416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505984).

155072416 is an abundant number, since it is smaller than the sum of its proper divisors (161939552).

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

155072416 is a wasteful number, since it uses less digits than its factorization.

155072416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 155072416 is about 12452.8075549251. The cubic root of 155072416 is about 537.2521775166.

The spelling of 155072416 in words is "one hundred fifty-five million, seventy-two thousand, four hundred sixteen".