72160704 has 168 divisors, whose sum is σ = 258031488. Its totient is φ = 18731520.

The previous prime is 72160691. The next prime is 72160747. The reversal of 72160704 is 40706127.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43539 + ... + 45165.

Almost surely, 2^72160704 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 72160704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129015744).

72160704 is an abundant number, since it is smaller than the sum of its proper divisors (185870784).

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

72160704 is a wasteful number, since it uses less digits than its factorization.

72160704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 72160704 is about 8494.7456701187. The cubic root of 72160704 is about 416.3260510881.

It can be divided in two parts, 721 and 60704, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 72160704 in words is "seventy-two million, one hundred sixty thousand, seven hundred four".