73172040 has 128 divisors (see below), whose sum is σ = 235008000. Its totient is φ = 18171648.

The previous prime is 73172023. The next prime is 73172069. The reversal of 73172040 is 4027137.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 73172040.

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, 152521 + ... + 152999.

It is an arithmetic number, because the mean of its divisors is an integer number (1836000).

Almost surely, 2^73172040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73172040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117504000).

73172040 is an abundant number, since it is smaller than the sum of its proper divisors (161835960).

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

73172040 is a wasteful number, since it uses less digits than its factorization.

73172040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 73172040 is about 8554.0657000049. The cubic root of 73172040 is about 418.2619787330.

Adding to 73172040 its reverse (4027137), we get a palindrome (77199177).

It can be divided in two parts, 731 and 72040, that added together give a triangular number (72771 = T₃₈₁).

The spelling of 73172040 in words is "seventy-three million, one hundred seventy-two thousand, forty".