73572408 has 256 divisors, whose sum is σ = 266112000. Its totient is φ = 18289152.

The previous prime is 73572403. The next prime is 73572431. The reversal of 73572408 is 80427537.

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 (73572403) 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, 373366 + ... + 373562.

It is an arithmetic number, because the mean of its divisors is an integer number (1039500).

Almost surely, 2^73572408 is an apocalyptic number.

73572408 is a gapful number since it is divisible by the number (78) 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 73572408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133056000).

73572408 is an abundant number, since it is smaller than the sum of its proper divisors (192539592).

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

73572408 is a wasteful number, since it uses less digits than its factorization.

73572408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 73572408 is about 8577.4359805247. The cubic root of 73572408 is about 419.0234454293.

The spelling of 73572408 in words is "seventy-three million, five hundred seventy-two thousand, four hundred eight".