71951040 has 336 divisors, whose sum is σ = 292900608. Its totient is φ = 15869952.

The previous prime is 71951003. The next prime is 71951053. The reversal of 71951040 is 4015917.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 71950995 and 71951013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 866839 + ... + 866921.

It is an arithmetic number, because the mean of its divisors is an integer number (871728).

Almost surely, 2^71951040 is an apocalyptic number.

71951040 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 71951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146450304).

71951040 is an abundant number, since it is smaller than the sum of its proper divisors (220949568).

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

71951040 is a wasteful number, since it uses less digits than its factorization.

71951040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 71951040 is about 8482.3958879552. The cubic root of 71951040 is about 415.9224460950.

Adding to 71951040 its reverse (4015917), we get a palindrome (75966957).

The spelling of 71951040 in words is "seventy-one million, nine hundred fifty-one thousand, forty".