742721400 has 360 divisors, whose sum is σ = 2743931520. Its totient is φ = 186157440.

The previous prime is 742721393. The next prime is 742721411. The reversal of 742721400 is 4127247.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 5848137 + ... + 5848263.

It is an arithmetic number, because the mean of its divisors is an integer number (7622032).

Almost surely, 2^742721400 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 742721400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371965760).

742721400 is an abundant number, since it is smaller than the sum of its proper divisors (2001210120).

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

742721400 is a wasteful number, since it uses less digits than its factorization.

742721400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 742721400 is about 27252.9154403708. The cubic root of 742721400 is about 905.6116049354.

Adding to 742721400 its reverse (4127247), we get a palindrome (746848647).

The spelling of 742721400 in words is "seven hundred forty-two million, seven hundred twenty-one thousand, four hundred".