73155040 has 192 divisors, whose sum is σ = 212889600. Its totient is φ = 23708160.

The previous prime is 73155013. The next prime is 73155059. The reversal of 73155040 is 4055137.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 73154996 and 73155014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1701259 + ... + 1701301.

It is an arithmetic number, because the mean of its divisors is an integer number (1108800).

Almost surely, 2^73155040 is an apocalyptic number.

73155040 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 73155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106444800).

73155040 is an abundant number, since it is smaller than the sum of its proper divisors (139734560).

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

73155040 is a wasteful number, since it uses less digits than its factorization.

73155040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 73155040 is about 8553.0719627512. The cubic root of 73155040 is about 418.2295847367.

The spelling of 73155040 in words is "seventy-three million, one hundred fifty-five thousand, forty".