725837207148 has 192 divisors, whose sum is σ = 1974233520000. Its totient is φ = 230321000448.

The previous prime is 725837207131. The next prime is 725837207159. The reversal of 725837207148 is 841702738527.

725837207148 is a `hidden beast` number, since 7 + 258 + 372 + 0 + 7 + 14 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 725837207094 and 725837207103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63927840 + ... + 63939192.

It is an arithmetic number, because the mean of its divisors is an integer number (10282466250).

Almost surely, 2^725837207148 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 725837207148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987116760000).

725837207148 is an abundant number, since it is smaller than the sum of its proper divisors (1248396312852).

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

725837207148 is a wasteful number, since it uses less digits than its factorization.

725837207148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11681 (or 11673 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 725837207148 in words is "seven hundred twenty-five billion, eight hundred thirty-seven million, two hundred seven thousand, one hundred forty-eight".