935472 has 20 divisors (see below), whose sum is σ = 2416760. Its totient is φ = 311808.

The previous prime is 935461. The next prime is 935489. The reversal of 935472 is 274539.

It is a d-powerful number, because it can be written as 9 + 3 + 4⁵ + 5⁷ + 7⁷ + 2¹⁵ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 935472.

It is an unprimeable number.

935472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9697 + ... + 9792.

It is an arithmetic number, because the mean of its divisors is an integer number (120838).

2⁹³⁵⁴⁷² is an apocalyptic number.

It is an amenable number.

935472 is an abundant number, since it is smaller than the sum of its proper divisors (1481288).

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

935472 is a wasteful number, since it uses less digits than its factorization.

935472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19500 (or 19494 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 935472 is about 967.1980148863. The cubic root of 935472 is about 97.8010680668.

It can be divided in two parts, 93 and 5472, that added together give a triangular number (5565 = T₁₀₅).

The spelling of 935472 in words is "nine hundred thirty-five thousand, four hundred seventy-two".