75465972 has 48 divisors (see below), whose sum is σ = 196701120. Its totient is φ = 25020576.

The previous prime is 75465961. The next prime is 75466003. The reversal of 75465972 is 27956457.

75465972 is a `hidden beast` number, since 7 + 54 + 6 + 597 + 2 = 666.

It is a super-2 number, since 2×75465972² = 11390225859809568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19503 + ... + 23049.

It is an arithmetic number, because the mean of its divisors is an integer number (4097940).

Almost surely, 2^75465972 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 75465972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98350560).

75465972 is an abundant number, since it is smaller than the sum of its proper divisors (121235148).

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

75465972 is a wasteful number, since it uses less digits than its factorization.

75465972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757 (or 3749 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 75465972 is about 8687.1152864458. The cubic root of 75465972 is about 422.5878990349.

The spelling of 75465972 in words is "seventy-five million, four hundred sixty-five thousand, nine hundred seventy-two".