742392000 has 448 divisors, whose sum is σ = 3119201280. Its totient is φ = 169344000.

The previous prime is 742391917. The next prime is 742392017. The reversal of 742392000 is 293247.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×742392000² = 1102291763328000000, which contains 22 as substring.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1511755 + ... + 1512245.

Almost surely, 2^742392000 is an apocalyptic number.

742392000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559600640).

742392000 is an abundant number, since it is smaller than the sum of its proper divisors (2376809280).

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

742392000 is a wasteful number, since it uses less digits than its factorization.

742392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 742392000 is about 27246.8713800319. The cubic root of 742392000 is about 905.4777043127.

The spelling of 742392000 in words is "seven hundred forty-two million, three hundred ninety-two thousand".