75815472 has 80 divisors (see below), whose sum is σ = 209808000. Its totient is φ = 23519232.

The previous prime is 75815471. The next prime is 75815473. The reversal of 75815472 is 27451857.

It is an interprime number because it is at equal distance from previous prime (75815471) and next prime (75815473).

It is a self number, because there is not a number n which added to its sum of digits gives 75815472.

It is not an unprimeable number, because it can be changed into a prime (75815471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53104 + ... + 54512.

It is an arithmetic number, because the mean of its divisors is an integer number (2622600).

Almost surely, 2^75815472 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 75815472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104904000).

75815472 is an abundant number, since it is smaller than the sum of its proper divisors (133992528).

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

75815472 is a wasteful number, since it uses less digits than its factorization.

75815472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1492 counting only the distinct ones).

The product of its digits is 78400, while the sum is 39.

The square root of 75815472 is about 8707.2080485079. The cubic root of 75815472 is about 423.2392612734.

The spelling of 75815472 in words is "seventy-five million, eight hundred fifteen thousand, four hundred seventy-two".