71420832 has 192 divisors, whose sum is σ = 243936000. Its totient is φ = 20321280.

The previous prime is 71420831. The next prime is 71420873. The reversal of 71420832 is 23802417.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 71420796 and 71420805.

It is not an unprimeable number, because it can be changed into a prime (71420831) 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, 296232 + ... + 296472.

It is an arithmetic number, because the mean of its divisors is an integer number (1270500).

Almost surely, 2^71420832 is an apocalyptic number.

71420832 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 71420832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121968000).

71420832 is an abundant number, since it is smaller than the sum of its proper divisors (172515168).

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

71420832 is a wasteful number, since it uses less digits than its factorization.

71420832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 71420832 is about 8451.0846641126. The cubic root of 71420832 is about 414.8982805811.

It can be divided in two parts, 71 and 420832, that added together give a triangular number (420903 = T₉₁₇).

The spelling of 71420832 in words is "seventy-one million, four hundred twenty thousand, eight hundred thirty-two".