72466954560 has 2688 divisors, whose sum is σ = 372782592000. Its totient is φ = 13168189440.

The previous prime is 72466954531. The next prime is 72466954619. The reversal of 72466954560 is 6545966427.

72466954560 is a `hidden beast` number, since 7 + 24 + 6 + 6 + 9 + 54 + 560 = 666.

It is a super-2 number, since 2×72466954560² (a number of 23 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 = 72466954497 and 72466954506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3814050231 + ... + 3814050249.

It is an arithmetic number, because the mean of its divisors is an integer number (138684000).

Almost surely, 2^72466954560 is an apocalyptic number.

72466954560 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 72466954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186391296000).

72466954560 is an abundant number, since it is smaller than the sum of its proper divisors (300315637440).

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

72466954560 is a wasteful number, since it uses less digits than its factorization.

72466954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 72466954560 in words is "seventy-two billion, four hundred sixty-six million, nine hundred fifty-four thousand, five hundred sixty".