73687968 has 60 divisors (see below), whose sum is σ = 216721890. Its totient is φ = 24561792.

The previous prime is 73687949. The next prime is 73687969. The reversal of 73687968 is 86978637.

It can be written as a sum of positive squares in only one way, i.e., 66781584 + 6906384 = 8172^2 + 2628^2 .

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

It is not an unprimeable number, because it can be changed into a prime (73687969) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11623 + ... + 16806.

Almost surely, 2^73687968 is an apocalyptic number.

It is an amenable number.

73687968 is an abundant number, since it is smaller than the sum of its proper divisors (143033922).

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

73687968 is a wasteful number, since it uses less digits than its factorization.

73687968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28451 (or 28434 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 73687968 is about 8584.1696162180. The cubic root of 73687968 is about 419.2427170307.

The spelling of 73687968 in words is "seventy-three million, six hundred eighty-seven thousand, nine hundred sixty-eight".