71072951040 has 1440 divisors, whose sum is σ = 324425773056. Its totient is φ = 14511882240.

The previous prime is 71072951039. The next prime is 71072951057. The reversal of 71072951040 is 4015927017.

It is a happy number.

71072951040 is a `hidden beast` number, since 71 + 0 + 72 + 9 + 510 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 71072950986 and 71072951004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2292675825 + ... + 2292675855.

Almost surely, 2^71072951040 is an apocalyptic number.

71072951040 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 71072951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162212886528).

71072951040 is an abundant number, since it is smaller than the sum of its proper divisors (253352822016).

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

71072951040 is an frugal number, since it uses more digits than its factorization.

71072951040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

It can be divided in two parts, 7107295 and 1040, that added together give a triangular number (7108335 = T₃₇₇₀).

The spelling of 71072951040 in words is "seventy-one billion, seventy-two million, nine hundred fifty-one thousand, forty".