72070571040 has 192 divisors, whose sum is σ = 244630108800. Its totient is φ = 17729961984.

The previous prime is 72070571029. The next prime is 72070571051. The reversal of 72070571040 is 4017507027.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72070571029) and next prime (72070571051).

It is a junction number, because it is equal to n+sod(n) for n = 72070570992 and 72070571010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19273491 + ... + 19277229.

It is an arithmetic number, because the mean of its divisors is an integer number (1274115150).

Almost surely, 2^72070571040 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 72070571040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122315054400).

72070571040 is an abundant number, since it is smaller than the sum of its proper divisors (172559537760).

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

72070571040 is a wasteful number, since it uses less digits than its factorization.

72070571040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6859 (or 6851 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 33.

The spelling of 72070571040 in words is "seventy-two billion, seventy million, five hundred seventy-one thousand, forty".