71442792 has 48 divisors (see below), whose sum is σ = 195682500. Its totient is φ = 23544576.

The previous prime is 71442779. The next prime is 71442799. The reversal of 71442792 is 29724417.

It can be written as a sum of positive squares in 2 ways, for example, as 66487716 + 4955076 = 8154^2 + 2226^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71442799) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 834 + ... + 11982.

Almost surely, 2^71442792 is an apocalyptic number.

71442792 is a gapful number since it is divisible by the number (72) 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 71442792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97841250).

71442792 is an abundant number, since it is smaller than the sum of its proper divisors (124239708).

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

71442792 is a wasteful number, since it uses less digits than its factorization.

71442792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11250 (or 11243 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 71442792 is about 8452.3838057675. The cubic root of 71442792 is about 414.9407996069.

The spelling of 71442792 in words is "seventy-one million, four hundred forty-two thousand, seven hundred ninety-two".