71629530 has 64 divisors (see below), whose sum is σ = 202825728. Its totient is φ = 15842880.

The previous prime is 71629511. The next prime is 71629531. The reversal of 71629530 is 3592617.

It is a junction number, because it is equal to n+sod(n) for n = 71629491 and 71629500.

It is not an unprimeable number, because it can be changed into a prime (71629531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1009 + ... + 12011.

It is an arithmetic number, because the mean of its divisors is an integer number (3169152).

Almost surely, 2^71629530 is an apocalyptic number.

71629530 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 71629530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101412864).

71629530 is an abundant number, since it is smaller than the sum of its proper divisors (131196198).

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

71629530 is a wasteful number, since it uses less digits than its factorization.

71629530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11051.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 71629530 is about 8463.4230663485. The cubic root of 71629530 is about 415.3020107715.

The spelling of 71629530 in words is "seventy-one million, six hundred twenty-nine thousand, five hundred thirty".