72422617478400 has 972 divisors, whose sum is σ = 302554338532992. Its totient is φ = 16479365898240.

The previous prime is 72422617478399. The next prime is 72422617478401. The reversal of 72422617478400 is 487471622427.

72422617478400 is a `hidden beast` number, since 7 + 2 + 4 + 226 + 1 + 7 + 4 + 7 + 8 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (72422617478399) and next prime (72422617478401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72422617478401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 629337667 + ... + 629452733.

Almost surely, 2^{72422617478400} is an apocalyptic number.

72422617478400 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 72422617478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151277169266496).

72422617478400 is an abundant number, since it is smaller than the sum of its proper divisors (230131721054592).

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

72422617478400 is a wasteful number, since it uses less digits than its factorization.

72422617478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115336 (or 115307 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 72422617478400 in words is "seventy-two trillion, four hundred twenty-two billion, six hundred seventeen million, four hundred seventy-eight thousand, four hundred".