742500 has 120 divisors (see below), whose sum is σ = 2624160. Its totient is φ = 180000.

The previous prime is 742499. The next prime is 742507. The reversal of 742500 is 5247.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (742507) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67495 + ... + 67505.

It is an arithmetic number, because the mean of its divisors is an integer number (21868).

2⁷⁴²⁵⁰⁰ 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 742500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312080).

742500 is an abundant number, since it is smaller than the sum of its proper divisors (1881660).

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

742500 is a wasteful number, since it uses less digits than its factorization.

742500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 742500 is about 861.6843969807. The cubic root of 742500 is about 90.5521610520.

Adding to 742500 its reverse (5247), we get a palindrome (747747).

The spelling of 742500 in words is "seven hundred forty-two thousand, five hundred".