72442994400 has 432 divisors, whose sum is σ = 298743629184. Its totient is φ = 16172835840.

The previous prime is 72442994359. The next prime is 72442994411. The reversal of 72442994400 is 449924427.

It is a super-3 number, since 3×72442994400³ (a number of 34 digits) contains 333 as substring.

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2150487 + ... + 2183913.

Almost surely, 2^72442994400 is an apocalyptic number.

72442994400 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 72442994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149371814592).

72442994400 is an abundant number, since it is smaller than the sum of its proper divisors (226300634784).

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

72442994400 is a wasteful number, since it uses less digits than its factorization.

72442994400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33503 (or 33487 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 72442994400 in words is "seventy-two billion, four hundred forty-two million, nine hundred ninety-four thousand, four hundred".