71242464 has 96 divisors (see below), whose sum is σ = 198567936. Its totient is φ = 22325760.

The previous prime is 71242439. The next prime is 71242481. The reversal of 71242464 is 46424217.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109789 + ... + 110435.

It is an arithmetic number, because the mean of its divisors is an integer number (2068416).

Almost surely, 2^71242464 is an apocalyptic number.

71242464 is a gapful number since it is divisible by the number (74) 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 71242464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99283968).

71242464 is an abundant number, since it is smaller than the sum of its proper divisors (127325472).

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

71242464 is a wasteful number, since it uses less digits than its factorization.

71242464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 720 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 71242464 is about 8440.5251021486. The cubic root of 71242464 is about 414.5526005372.

The spelling of 71242464 in words is "seventy-one million, two hundred forty-two thousand, four hundred sixty-four".