71477952 has 112 divisors (see below), whose sum is σ = 232818432. Its totient is φ = 18846720.

The previous prime is 71477933. The next prime is 71477963. The reversal of 71477952 is 25977417.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×71477952² = 10218195244228608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (123480) is a multiple of the sum of its prime divisors (4116).

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, 15427 + ... + 19517.

It is an arithmetic number, because the mean of its divisors is an integer number (2078736).

Almost surely, 2^71477952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71477952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116409216).

71477952 is an abundant number, since it is smaller than the sum of its proper divisors (161340480).

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

71477952 is a wasteful number, since it uses less digits than its factorization.

71477952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126 (or 4116 counting only the distinct ones).

The product of its digits is 123480, while the sum is 42.

The square root of 71477952 is about 8454.4634365523. The cubic root of 71477952 is about 415.0088583777.

The spelling of 71477952 in words is "seventy-one million, four hundred seventy-seven thousand, nine hundred fifty-two".