73615080 has 256 divisors, whose sum is σ = 285327360. Its totient is φ = 14745600.

The previous prime is 73615051. The next prime is 73615081. The reversal of 73615080 is 8051637.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (73615081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286312 + ... + 286568.

It is an arithmetic number, because the mean of its divisors is an integer number (1114560).

Almost surely, 2^73615080 is an apocalyptic number.

73615080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73615080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142663680).

73615080 is an abundant number, since it is smaller than the sum of its proper divisors (211712280).

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

73615080 is a wasteful number, since it uses less digits than its factorization.

73615080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 73615080 is about 8579.9230765783. The cubic root of 73615080 is about 419.1044409780.

The spelling of 73615080 in words is "seventy-three million, six hundred fifteen thousand, eighty".