72362479472640 has 2496 divisors, whose sum is σ = 316258048512000. Its totient is φ = 15619079798784.

The previous prime is 72362479472627. The next prime is 72362479472651. The reversal of 72362479472640 is 4627497426327.

72362479472640 is a `hidden beast` number, since 7 + 2 + 3 + 62 + 47 + 9 + 472 + 64 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51724430661 + ... + 51724432059.

Almost surely, 2^{72362479472640} is an apocalyptic number.

72362479472640 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 72362479472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158129024256000).

72362479472640 is an abundant number, since it is smaller than the sum of its proper divisors (243895569039360).

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

72362479472640 is a wasteful number, since it uses less digits than its factorization.

72362479472640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 63.

The spelling of 72362479472640 in words is "seventy-two trillion, three hundred sixty-two billion, four hundred seventy-nine million, four hundred seventy-two thousand, six hundred forty".