725153984 has 56 divisors (see below), whose sum is σ = 1491374208. Its totient is φ = 349470720.

The previous prime is 725153983. The next prime is 725153993. The reversal of 725153984 is 489351527.

It is a super-2 number, since 2×725153984² = 1051696601022144512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (725153983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 628352 + ... + 629504.

Almost surely, 2^725153984 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 725153984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745687104).

725153984 is an abundant number, since it is smaller than the sum of its proper divisors (766220224).

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

725153984 is a wasteful number, since it uses less digits than its factorization.

725153984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1503 counting only the distinct ones).

The product of its digits is 302400, while the sum is 44.

The square root of 725153984 is about 26928.6832949552. The cubic root of 725153984 is about 898.4144858341.

The spelling of 725153984 in words is "seven hundred twenty-five million, one hundred fifty-three thousand, nine hundred eighty-four".