742017375 has 192 divisors, whose sum is σ = 1593446400. Its totient is φ = 339768000.

The previous prime is 742017371. The next prime is 742017413. The reversal of 742017375 is 573710247.

742017375 = 210³ + 211³ + ... + 264³.

It is not a de Polignac number, because 742017375 - 2² = 742017371 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742017371) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9392586 + ... + 9392664.

It is an arithmetic number, because the mean of its divisors is an integer number (8299200).

Almost surely, 2^742017375 is an apocalyptic number.

742017375 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

742017375 is an abundant number, since it is smaller than the sum of its proper divisors (851429025).

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

742017375 is a wasteful number, since it uses less digits than its factorization.

742017375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 742017375 is about 27239.9958700437. The cubic root of 742017375 is about 905.3253716461.

The spelling of 742017375 in words is "seven hundred forty-two million, seventeen thousand, three hundred seventy-five".