742578144 has 288 divisors, whose sum is σ = 2515193856. Its totient is φ = 189665280.

The previous prime is 742578127. The next prime is 742578149. The reversal of 742578144 is 441875247.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 742578096 and 742578105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742578149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5847009 + ... + 5847135.

It is an arithmetic number, because the mean of its divisors is an integer number (8733312).

Almost surely, 2^742578144 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 742578144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257596928).

742578144 is an abundant number, since it is smaller than the sum of its proper divisors (1772615712).

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

742578144 is a wasteful number, since it uses less digits than its factorization.

742578144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 263 counting only the distinct ones).

The product of its digits is 250880, while the sum is 42.

The square root of 742578144 is about 27250.2870443597. The cubic root of 742578144 is about 905.5533764449.

The spelling of 742578144 in words is "seven hundred forty-two million, five hundred seventy-eight thousand, one hundred forty-four".