71405496 has 128 divisors (see below), whose sum is σ = 211968000. Its totient is φ = 22208256.

The previous prime is 71405489. The next prime is 71405497. The reversal of 71405496 is 69450417.

71405496 is a `hidden beast` number, since 71 + 40 + 549 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 71405496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71405497) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521140 + ... + 521276.

It is an arithmetic number, because the mean of its divisors is an integer number (1656000).

Almost surely, 2^71405496 is an apocalyptic number.

71405496 is a gapful number since it is divisible by the number (76) 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 71405496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105984000).

71405496 is an abundant number, since it is smaller than the sum of its proper divisors (140562504).

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

71405496 is a wasteful number, since it uses less digits than its factorization.

71405496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 71405496 is about 8450.1772762469. The cubic root of 71405496 is about 414.8685817974.

The spelling of 71405496 in words is "seventy-one million, four hundred five thousand, four hundred ninety-six".