75462072 has 128 divisors (see below), whose sum is σ = 232243200. Its totient is φ = 19951488.

The previous prime is 75462067. The next prime is 75462077. The reversal of 75462072 is 27026457.

It is an interprime number because it is at equal distance from previous prime (75462067) and next prime (75462077).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75462077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149773 + ... + 150275.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 2^75462072 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 75462072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116121600).

75462072 is an abundant number, since it is smaller than the sum of its proper divisors (156781128).

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

75462072 is a wasteful number, since it uses less digits than its factorization.

75462072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 581 counting only the distinct ones).

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

The square root of 75462072 is about 8686.8908131736. The cubic root of 75462072 is about 422.5806192807.

It can be divided in two parts, 754 and 62072, that added together give a palindrome (62826).

The spelling of 75462072 in words is "seventy-five million, four hundred sixty-two thousand, seventy-two".