75415164 has 48 divisors (see below), whose sum is σ = 192694656. Its totient is φ = 22766400.

The previous prime is 75415141. The next prime is 75415169. The reversal of 75415164 is 46151457.

It is a super-2 number, since 2×75415164² = 11374893922293792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75415169) 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, 39594 + ... + 41454.

It is an arithmetic number, because the mean of its divisors is an integer number (4014472).

Almost surely, 2^75415164 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 75415164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96347328).

75415164 is an abundant number, since it is smaller than the sum of its proper divisors (117279492).

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

75415164 is a wasteful number, since it uses less digits than its factorization.

75415164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2184 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 75415164 is about 8684.1904631347. The cubic root of 75415164 is about 422.4930409787.

The spelling of 75415164 in words is "seventy-five million, four hundred fifteen thousand, one hundred sixty-four".