721028070144 has 216 divisors, whose sum is σ = 2176999319040. Its totient is φ = 229075900416.

The previous prime is 721028070137. The next prime is 721028070151. The reversal of 721028070144 is 441070820127.

It is an interprime number because it is at equal distance from previous prime (721028070137) and next prime (721028070151).

It is a super-4 number, since 4×721028070144⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 721028070099 and 721028070108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14972697 + ... + 15020775.

Almost surely, 2^721028070144 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 721028070144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088499659520).

721028070144 is an abundant number, since it is smaller than the sum of its proper divisors (1455971248896).

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

721028070144 is a wasteful number, since it uses less digits than its factorization.

721028070144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48407 (or 48390 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 721028070144 in words is "seven hundred twenty-one billion, twenty-eight million, seventy thousand, one hundred forty-four".