72422414487360 has 1568 divisors, whose sum is σ = 300503383142400. Its totient is φ = 16275762708480.

The previous prime is 72422414487359. The next prime is 72422414487541. The reversal of 72422414487360 is 6378441422427.

72422414487360 is a `hidden beast` number, since 7 + 2 + 4 + 224 + 14 + 48 + 7 + 360 = 666.

It is a super-2 number, since 2×72422414487360² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 72422414487297 and 72422414487306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 27758685736 + ... + 27758688344.

Almost surely, 2^{72422414487360} is an apocalyptic number.

72422414487360 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 72422414487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150251691571200).

72422414487360 is an abundant number, since it is smaller than the sum of its proper divisors (228080968655040).

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

72422414487360 is a wasteful number, since it uses less digits than its factorization.

72422414487360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 54.

The spelling of 72422414487360 in words is "seventy-two trillion, four hundred twenty-two billion, four hundred fourteen million, four hundred eighty-seven thousand, three hundred sixty".