742572 has 18 divisors (see below), whose sum is σ = 1877148. Its totient is φ = 247512.

The previous prime is 742559. The next prime is 742579. The reversal of 742572 is 275247.

742572 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (742579) by changing a digit.

742572 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 5 ways as a sum of consecutive naturals, for example, 10278 + ... + 10349.

It is an arithmetic number, because the mean of its divisors is an integer number (104286).

742572 is a Friedman number, since it can be written as ((7+4+2)^5-7)*2, using all its digits and the basic arithmetic operations.

2⁷⁴²⁵⁷² is an apocalyptic number.

It is an amenable number.

742572 is an abundant number, since it is smaller than the sum of its proper divisors (1134576).

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

742572 is a wasteful number, since it uses less digits than its factorization.

742572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20637 (or 20632 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 742572 is about 861.7261746054. The cubic root of 742572 is about 90.5550878959. Note that the first 3 decimals are identical.

It can be divided in two parts, 742 and 572, that multiplied together give a palindrome (424424).

The spelling of 742572 in words is "seven hundred forty-two thousand, five hundred seventy-two".