72007149747456 has 1800 divisors, whose sum is σ = 278884441848320. Its totient is φ = 18083268403200.

The previous prime is 72007149747451. The next prime is 72007149747497. The reversal of 72007149747456 is 65474794170027.

It is a happy number.

72007149747456 is a `hidden beast` number, since 7 + 2 + 0 + 0 + 71 + 4 + 97 + 474 + 5 + 6 = 666.

It is a super-2 number, since 2×72007149747456² (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 a junction number, because it is equal to n+sod(n) for n = 72007149747393 and 72007149747402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72007149747451) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 65880282846 + ... + 65880283938.

Almost surely, 2^{72007149747456} 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 72007149747456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139442220924160).

72007149747456 is an abundant number, since it is smaller than the sum of its proper divisors (206877292100864).

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

72007149747456 is an equidigital number, since it uses as much as digits as its factorization.

72007149747456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 72007149747456 in words is "seventy-two trillion, seven billion, one hundred forty-nine million, seven hundred forty-seven thousand, four hundred fifty-six".