632515072 has 80 divisors (see below), whose sum is σ = 1491190272. Its totient is φ = 262287360.

The previous prime is 632515067. The next prime is 632515087. The reversal of 632515072 is 270515236.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108258 + ... + 113950.

Almost surely, 2^632515072 is an apocalyptic number.

632515072 is a gapful number since it is divisible by the number (62) 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 632515072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745595136).

632515072 is an abundant number, since it is smaller than the sum of its proper divisors (858675200).

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

632515072 is an equidigital number, since it uses as much as digits as its factorization.

632515072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5749 (or 5733 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 632515072 is about 25149.8523256102. The cubic root of 632515072 is about 858.4011541429.

The spelling of 632515072 in words is "six hundred thirty-two million, five hundred fifteen thousand, seventy-two".