75672240 has 160 divisors (see below), whose sum is σ = 276934656. Its totient is φ = 16727040.

The previous prime is 75672239. The next prime is 75672241. The reversal of 75672240 is 4227657.

It is an interprime number because it is at equal distance from previous prime (75672239) and next prime (75672241).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75672241) 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, 51354 + ... + 52806.

Almost surely, 2^75672240 is an apocalyptic number.

75672240 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 75672240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138467328).

75672240 is an abundant number, since it is smaller than the sum of its proper divisors (201262416).

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

75672240 is a wasteful number, since it uses less digits than its factorization.

75672240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 75672240 is about 8698.9792504638. The cubic root of 75672240 is about 422.9725627571.

Adding to 75672240 its reverse (4227657), we get a palindrome (79899897).

The spelling of 75672240 in words is "seventy-five million, six hundred seventy-two thousand, two hundred forty".