71632940 has 36 divisors (see below), whose sum is σ = 155479968. Its totient is φ = 27721440.

The previous prime is 71632931. The next prime is 71632949. The reversal of 71632940 is 4923617.

It is an interprime number because it is at equal distance from previous prime (71632931) and next prime (71632949).

It is a junction number, because it is equal to n+sod(n) for n = 71632897 and 71632906.

It is not an unprimeable number, because it can be changed into a prime (71632949) 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, 17357 + ... + 21083.

It is an arithmetic number, because the mean of its divisors is an integer number (4318888).

Almost surely, 2^71632940 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 71632940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77739984).

71632940 is an abundant number, since it is smaller than the sum of its proper divisors (83847028).

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

71632940 is a wasteful number, since it uses less digits than its factorization.

71632940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3798 (or 3765 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 71632940 is about 8463.6245190816. The cubic root of 71632940 is about 415.3086009650.

The spelling of 71632940 in words is "seventy-one million, six hundred thirty-two thousand, nine hundred forty".