71526546 has 72 divisors (see below), whose sum is σ = 191842560. Its totient is φ = 18858528.

The previous prime is 71526529. The next prime is 71526569. The reversal of 71526546 is 64562517.

It is a happy number.

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 Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 71526546.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19615 + ... + 22973.

It is an arithmetic number, because the mean of its divisors is an integer number (2664480).

Almost surely, 2^71526546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71526546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95921280).

71526546 is an abundant number, since it is smaller than the sum of its proper divisors (120316014).

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

71526546 is a wasteful number, since it uses less digits than its factorization.

71526546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3384 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 71526546 is about 8457.3368148608. The cubic root of 71526546 is about 415.1028844444.

It can be divided in two parts, 715 and 26546, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 71526546 in words is "seventy-one million, five hundred twenty-six thousand, five hundred forty-six".