7144020072 has 384 divisors, whose sum is σ = 24028099200. Its totient is φ = 1959552000.

The previous prime is 7144020061. The next prime is 7144020089. The reversal of 7144020072 is 2700204417.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43828263 + ... + 43828425.

It is an arithmetic number, because the mean of its divisors is an integer number (62573175).

Almost surely, 2^7144020072 is an apocalyptic number.

7144020072 is a gapful number since it is divisible by the number (72) 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 7144020072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12014049600).

7144020072 is an abundant number, since it is smaller than the sum of its proper divisors (16884079128).

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

7144020072 is a wasteful number, since it uses less digits than its factorization.

7144020072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 7144020072 is about 84522.3051744331. The cubic root of 7144020072 is about 1925.9612961817.

Adding to 7144020072 its reverse (2700204417), we get a palindrome (9844224489).

The spelling of 7144020072 in words is "seven billion, one hundred forty-four million, twenty thousand, seventy-two".