73726437330 has 480 divisors, whose sum is σ = 254199363264. Its totient is φ = 15189140736.

The previous prime is 73726437313. The next prime is 73726437457. The reversal of 73726437330 is 3373462737.

It is a happy number.

It is a super-2 number, since 2×73726437330² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 22185049 + ... + 22188371.

Almost surely, 2^73726437330 is an apocalyptic number.

73726437330 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 73726437330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127099681632).

73726437330 is an abundant number, since it is smaller than the sum of its proper divisors (180472925934).

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

73726437330 is a wasteful number, since it uses less digits than its factorization.

73726437330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 45.

The spelling of 73726437330 in words is "seventy-three billion, seven hundred twenty-six million, four hundred thirty-seven thousand, three hundred thirty".