73729638 has 24 divisors (see below), whose sum is σ = 160114968. Its totient is φ = 24520032.

The previous prime is 73729597. The next prime is 73729639. The reversal of 73729638 is 83692737.

It is a happy number.

73729638 is a `hidden beast` number, since 7 + 3 + 7 + 2 + 9 + 638 = 666.

It is a super-2 number, since 2×73729638² = 10872119039222088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73729593 and 73729602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73729639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3745 + ... + 12707.

It is an arithmetic number, because the mean of its divisors is an integer number (6671457).

Almost surely, 2^73729638 is an apocalyptic number.

73729638 is an abundant number, since it is smaller than the sum of its proper divisors (86385330).

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

73729638 is a wasteful number, since it uses less digits than its factorization.

73729638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9428 (or 9425 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 73729638 is about 8586.5964153441. The cubic root of 73729638 is about 419.3217283560.

The spelling of 73729638 in words is "seventy-three million, seven hundred twenty-nine thousand, six hundred thirty-eight".