743667372 has 192 divisors, whose sum is σ = 2421350400. Its totient is φ = 192456000.

The previous prime is 743667347. The next prime is 743667383. The reversal of 743667372 is 273766347.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

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, 329247 + ... + 331497.

It is an arithmetic number, because the mean of its divisors is an integer number (12611200).

Almost surely, 2^743667372 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 743667372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210675200).

743667372 is an abundant number, since it is smaller than the sum of its proper divisors (1677683028).

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

743667372 is a wasteful number, since it uses less digits than its factorization.

743667372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2305 counting only the distinct ones).

The product of its digits is 889056, while the sum is 45.

The square root of 743667372 is about 27270.2653452437. The cubic root of 743667372 is about 905.9959212132.

The spelling of 743667372 in words is "seven hundred forty-three million, six hundred sixty-seven thousand, three hundred seventy-two".