72270629544960 has 1584 divisors, whose sum is σ = 318898582172352. Its totient is φ = 14964513177600.

The previous prime is 72270629544947. The next prime is 72270629544977. The reversal of 72270629544960 is 6944592607227.

72270629544960 is a `hidden beast` number, since 7 + 2 + 2 + 7 + 0 + 6 + 29 + 544 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×72270629544960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7277271195 + ... + 7277281125.

Almost surely, 2^{72270629544960} is an apocalyptic number.

72270629544960 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 72270629544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159449291086176).

72270629544960 is an abundant number, since it is smaller than the sum of its proper divisors (246627952627392).

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

72270629544960 is a wasteful number, since it uses less digits than its factorization.

72270629544960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10280 (or 10252 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 72270629544960 in words is "seventy-two trillion, two hundred seventy billion, six hundred twenty-nine million, five hundred forty-four thousand, nine hundred sixty".