75630672 has 150 divisors (see below), whose sum is σ = 239306298. Its totient is φ = 22923648.

The previous prime is 75630619. The next prime is 75630677. The reversal of 75630672 is 27603657.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 52359696 + 23270976 = 7236^2 + 4824^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75630677) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1128783 + ... + 1128849.

Almost surely, 2^75630672 is an apocalyptic number.

75630672 is a gapful number since it is divisible by the number (72) 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 75630672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119653149).

75630672 is an abundant number, since it is smaller than the sum of its proper divisors (163675626).

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

75630672 is a wasteful number, since it uses less digits than its factorization.

75630672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 75630672 is about 8696.5896764191. The cubic root of 75630672 is about 422.8950999876.

The spelling of 75630672 in words is "seventy-five million, six hundred thirty thousand, six hundred seventy-two".