78071532 has 96 divisors (see below), whose sum is σ = 239124480. Its totient is φ = 19206720.

The previous prime is 78071527. The next prime is 78071537. The reversal of 78071532 is 23517087.

It is an interprime number because it is at equal distance from previous prime (78071527) and next prime (78071537).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 78071493 and 78071502.

It is not an unprimeable number, because it can be changed into a prime (78071537) 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, 15333 + ... + 19779.

It is an arithmetic number, because the mean of its divisors is an integer number (2490880).

Almost surely, 2^78071532 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 78071532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119562240).

78071532 is an abundant number, since it is smaller than the sum of its proper divisors (161052948).

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

78071532 is a wasteful number, since it uses less digits than its factorization.

78071532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4491 (or 4489 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 78071532 is about 8835.8096403216. The cubic root of 78071532 is about 427.3964401523.

It can be divided in two parts, 7807 and 1532, that added together give a palindrome (9339).

The spelling of 78071532 in words is "seventy-eight million, seventy-one thousand, five hundred thirty-two".