71538040 has 192 divisors, whose sum is σ = 210535200. Its totient is φ = 21676032.

The previous prime is 71538017. The next prime is 71538107. The reversal of 71538040 is 4083517.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 633024 + ... + 633136.

Almost surely, 2^71538040 is an apocalyptic number.

71538040 is a gapful number since it is divisible by the number (70) 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 71538040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105267600).

71538040 is an abundant number, since it is smaller than the sum of its proper divisors (138997160).

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

71538040 is a wasteful number, since it uses less digits than its factorization.

71538040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 71538040 is about 8458.0163158982. The cubic root of 71538040 is about 415.1251183202.

71538040 divided by its sum of digits (28) gives a triangular number (2554930 = T₂₂₆₀).

The spelling of 71538040 in words is "seventy-one million, five hundred thirty-eight thousand, forty".