742149120 has 176 divisors, whose sum is σ = 2499632640. Its totient is φ = 187416576.

The previous prime is 742149061. The next prime is 742149131. The reversal of 742149120 is 21941247.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290569 + ... + 293111.

Almost surely, 2^742149120 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 742149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249816320).

742149120 is an abundant number, since it is smaller than the sum of its proper divisors (1757483520).

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

742149120 is a wasteful number, since it uses less digits than its factorization.

742149120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 742149120 is about 27242.4139899532. The cubic root of 742149120 is about 905.3789485734.

The spelling of 742149120 in words is "seven hundred forty-two million, one hundred forty-nine thousand, one hundred twenty".