72436862400 has 672 divisors, whose sum is σ = 287848243200. Its totient is φ = 15589601280.

The previous prime is 72436862383. The next prime is 72436862431. The reversal of 72436862400 is 426863427.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51776901 + ... + 51778299.

It is an arithmetic number, because the mean of its divisors is an integer number (428345600).

Almost surely, 2^72436862400 is an apocalyptic number.

72436862400 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 72436862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143924121600).

72436862400 is an abundant number, since it is smaller than the sum of its proper divisors (215411380800).

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

72436862400 is a wasteful number, since it uses less digits than its factorization.

72436862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 72436862400 in words is "seventy-two billion, four hundred thirty-six million, eight hundred sixty-two thousand, four hundred".