72184199040 has 384 divisors, whose sum is σ = 253970795520. Its totient is φ = 18889113600.

The previous prime is 72184199039. The next prime is 72184199057. The reversal of 72184199040 is 4099148127.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73883032 + ... + 73884008.

It is an arithmetic number, because the mean of its divisors is an integer number (661382280).

Almost surely, 2^72184199040 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 72184199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126985397760).

72184199040 is an abundant number, since it is smaller than the sum of its proper divisors (181786596480).

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

72184199040 is a wasteful number, since it uses less digits than its factorization.

72184199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 72184199040 in words is "seventy-two billion, one hundred eighty-four million, one hundred ninety-nine thousand, forty".