742562500 has 63 divisors (see below), whose sum is σ = 1639373547. Its totient is φ = 294300000.

The previous prime is 742562479. The next prime is 742562501. The reversal of 742562500 is 5265247.

The square root of 742562500 is 27250.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 706177476 + 36385024 = 26574^2 + 6032^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (742562501) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 6812446 + ... + 6812554.

Almost surely, 2^742562500 is an apocalyptic number.

742562500 is the 27250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742562500

742562500 is an abundant number, since it is smaller than the sum of its proper divisors (896811047).

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

742562500 is an frugal number, since it uses more digits than its factorization.

742562500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The cubic root of 742562500 is about 905.5470172594.

The spelling of 742562500 in words is "seven hundred forty-two million, five hundred sixty-two thousand, five hundred".