72078570137280 has 448 divisors, whose sum is σ = 264916381796352. Its totient is φ = 16263526809600.

The previous prime is 72078570137251. The next prime is 72078570137291. The reversal of 72078570137280 is 8273107587027.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 72078570137280.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228571077 + ... + 228886203.

Almost surely, 2^{72078570137280} is an apocalyptic number.

72078570137280 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 72078570137280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132458190898176).

72078570137280 is an abundant number, since it is smaller than the sum of its proper divisors (192837811659072).

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

72078570137280 is a wasteful number, since it uses less digits than its factorization.

72078570137280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315592 (or 315582 counting only the distinct ones).

The product of its (nonzero) digits is 9219840, while the sum is 57.

The spelling of 72078570137280 in words is "seventy-two trillion, seventy-eight billion, five hundred seventy million, one hundred thirty-seven thousand, two hundred eighty".