73515960 has 96 divisors (see below), whose sum is σ = 273068640. Its totient is φ = 16803072.

The previous prime is 73515907. The next prime is 73515961. The reversal of 73515960 is 6951537.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73515961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12067 + ... + 17106.

It is an arithmetic number, because the mean of its divisors is an integer number (2844465).

Almost surely, 2^73515960 is an apocalyptic number.

73515960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

73515960 is an abundant number, since it is smaller than the sum of its proper divisors (199552680).

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

73515960 is a wasteful number, since it uses less digits than its factorization.

73515960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29197 (or 29190 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 73515960 is about 8574.1448553194. The cubic root of 73515960 is about 418.9162535807.

The spelling of 73515960 in words is "seventy-three million, five hundred fifteen thousand, nine hundred sixty".