736385038272 has 392 divisors, whose sum is σ = 2371669221600. Its totient is φ = 225404467200.

The previous prime is 736385038229. The next prime is 736385038297. The reversal of 736385038272 is 272830583637.

736385038272 is a `hidden beast` number, since 7 + 3 + 63 + 8 + 503 + 8 + 2 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 120696022 + ... + 120702122.

Almost surely, 2^736385038272 is an apocalyptic number.

736385038272 is a gapful number since it is divisible by the number (72) 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 736385038272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185834610800).

736385038272 is an abundant number, since it is smaller than the sum of its proper divisors (1635284183328).

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

736385038272 is a wasteful number, since it uses less digits than its factorization.

736385038272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6343 (or 6318 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 736385038272 in words is "seven hundred thirty-six billion, three hundred eighty-five million, thirty-eight thousand, two hundred seventy-two".