617472 has 66 divisors (see below), whose sum is σ = 1809548. Its totient is φ = 202752.

The previous prime is 617471. The next prime is 617473. The reversal of 617472 is 274716.

617472 is a `hidden beast` number, since 617 + 47 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (617471) and next prime (617473).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (617471) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9183 + ... + 9249.

2⁶¹⁷⁴⁷² 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 617472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904774).

617472 is an abundant number, since it is smaller than the sum of its proper divisors (1192076).

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

617472 is a wasteful number, since it uses less digits than its factorization.

617472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 72 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 617472 is about 785.7938660998. The cubic root of 617472 is about 85.1541378513.

It can be divided in two parts, 617 and 472, that added together give a square (1089 = 33²).

The spelling of 617472 in words is "six hundred seventeen thousand, four hundred seventy-two".