73672146400 has 144 divisors (see below), whose sum is σ = 187867663200. Its totient is φ = 28158197760.

The previous prime is 73672146397. The next prime is 73672146463. The reversal of 73672146400 is 464127637.

It is a super-3 number, since 3×73672146400³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27396256 + ... + 27398944.

It is an arithmetic number, because the mean of its divisors is an integer number (1304636550).

Almost surely, 2^73672146400 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 73672146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93933831600).

73672146400 is an abundant number, since it is smaller than the sum of its proper divisors (114195516800).

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

73672146400 is a wasteful number, since it uses less digits than its factorization.

73672146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The spelling of 73672146400 in words is "seventy-three billion, six hundred seventy-two million, one hundred forty-six thousand, four hundred".