7072961004 has 72 divisors (see below), whose sum is σ = 18704806848. Its totient is φ = 2251188480.

The previous prime is 7072960987. The next prime is 7072961053. The reversal of 7072961004 is 4001692707.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7072961004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18394 + ... + 120350.

It is an arithmetic number, because the mean of its divisors is an integer number (259788984).

Almost surely, 2^7072961004 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 7072961004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9352403424).

7072961004 is an abundant number, since it is smaller than the sum of its proper divisors (11631845844).

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

7072961004 is a wasteful number, since it uses less digits than its factorization.

7072961004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102055 (or 102050 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 7072961004 is about 84100.8977597742. The cubic root of 7072961004 is about 1919.5543855172.

The spelling of 7072961004 in words is "seven billion, seventy-two million, nine hundred sixty-one thousand, four".