72286849440 has 480 divisors, whose sum is σ = 278651995776. Its totient is φ = 17540167680.

The previous prime is 72286849429. The next prime is 72286849471. The reversal of 72286849440 is 4494868227.

72286849440 is a `hidden beast` number, since 72 + 2 + 86 + 8 + 494 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×72286849440² (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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11959059 + ... + 11965101.

Almost surely, 2^72286849440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72286849440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139325997888).

72286849440 is an abundant number, since it is smaller than the sum of its proper divisors (206365146336).

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

72286849440 is a wasteful number, since it uses less digits than its factorization.

72286849440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6154 (or 6137 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 72286849440 in words is "seventy-two billion, two hundred eighty-six million, eight hundred forty-nine thousand, four hundred forty".