73736560 has 80 divisors (see below), whose sum is σ = 182354400. Its totient is φ = 27675648.

The previous prime is 73736557. The next prime is 73736563. The reversal of 73736560 is 6563737.

It is an interprime number because it is at equal distance from previous prime (73736557) and next prime (73736563).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73736563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85411 + ... + 86269.

It is an arithmetic number, because the mean of its divisors is an integer number (2279430).

Almost surely, 2^73736560 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 73736560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91177200).

73736560 is an abundant number, since it is smaller than the sum of its proper divisors (108617840).

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

73736560 is a wasteful number, since it uses less digits than its factorization.

73736560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 37.

The square root of 73736560 is about 8586.9994759520. Note that the first 3 decimals coincide. The cubic root of 73736560 is about 419.3348504159.

The spelling of 73736560 in words is "seventy-three million, seven hundred thirty-six thousand, five hundred sixty".