72274366080 has 768 divisors, whose sum is σ = 298216339200. Its totient is φ = 15780151296.

The previous prime is 72274366079. The next prime is 72274366123. The reversal of 72274366080 is 8066347227.

72274366080 is a `hidden beast` number, since 7 + 2 + 2 + 7 + 4 + 36 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132128367 + ... + 132128913.

It is an arithmetic number, because the mean of its divisors is an integer number (388302525).

Almost surely, 2^72274366080 is an apocalyptic number.

72274366080 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 72274366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149108169600).

72274366080 is an abundant number, since it is smaller than the sum of its proper divisors (225941973120).

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

72274366080 is a wasteful number, since it uses less digits than its factorization.

72274366080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 72274366080 in words is "seventy-two billion, two hundred seventy-four million, three hundred sixty-six thousand, eighty".