73372680 has 192 divisors, whose sum is σ = 266198400. Its totient is φ = 17418240.

The previous prime is 73372669. The next prime is 73372681. The reversal of 73372680 is 8627337.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (73372681) 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 47 ways as a sum of consecutive naturals, for example, 115965 + ... + 116595.

It is an arithmetic number, because the mean of its divisors is an integer number (1386450).

Almost surely, 2^73372680 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 73372680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133099200).

73372680 is an abundant number, since it is smaller than the sum of its proper divisors (192825720).

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

73372680 is a wasteful number, since it uses less digits than its factorization.

73372680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 73372680 is about 8565.7854280854. The cubic root of 73372680 is about 418.6439256088.

The spelling of 73372680 in words is "seventy-three million, three hundred seventy-two thousand, six hundred eighty".