73015040 has 144 divisors (see below), whose sum is σ = 207506880. Its totient is φ = 24084480.

The previous prime is 73015031. The next prime is 73015057. The reversal of 73015040 is 4051037.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259700 + ... + 259980.

It is an arithmetic number, because the mean of its divisors is an integer number (1441020).

Almost surely, 2^73015040 is an apocalyptic number.

73015040 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 73015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103753440).

73015040 is an abundant number, since it is smaller than the sum of its proper divisors (134491840).

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

73015040 is a wasteful number, since it uses less digits than its factorization.

73015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 73015040 is about 8544.8838494154. The cubic root of 73015040 is about 417.9626196131.

Adding to 73015040 its reverse (4051037), we get a palindrome (77066077).

The spelling of 73015040 in words is "seventy-three million, fifteen thousand, forty".