615072 has 48 divisors (see below), whose sum is σ = 1663200. Its totient is φ = 198912.

The previous prime is 615067. The next prime is 615101. The reversal of 615072 is 270516.

It is a tau number, because it is divible by the number of its divisors (48).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 615072.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4054 + ... + 4202.

It is an arithmetic number, because the mean of its divisors is an integer number (34650).

2⁶¹⁵⁰⁷² 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 615072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831600).

615072 is an abundant number, since it is smaller than the sum of its proper divisors (1048128).

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

615072 is a wasteful number, since it uses less digits than its factorization.

615072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 615072 is about 784.2652612477. The cubic root of 615072 is about 85.0436684498.

Adding to 615072 its reverse (270516), we get a palindrome (885588).

The spelling of 615072 in words is "six hundred fifteen thousand, seventy-two".