72265717440 has 504 divisors, whose sum is σ = 295894993680. Its totient is φ = 16132386816.

The previous prime is 72265717429. The next prime is 72265717451. The reversal of 72265717440 is 4471756227.

72265717440 is a `hidden beast` number, since 7 + 2 + 2 + 6 + 571 + 74 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72265717429) and next prime (72265717451).

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 6062206 + ... + 6074114.

Almost surely, 2^72265717440 is an apocalyptic number.

72265717440 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 72265717440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147947496840).

72265717440 is an abundant number, since it is smaller than the sum of its proper divisors (223629276240).

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

72265717440 is a wasteful number, since it uses less digits than its factorization.

72265717440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11989 (or 11969 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 72265717440 in words is "seventy-two billion, two hundred sixty-five million, seven hundred seventeen thousand, four hundred forty".