72719000 has 32 divisors (see below), whose sum is σ = 170164800. Its totient is φ = 29087200.

The previous prime is 72718999. The next prime is 72719041. The reversal of 72719000 is 91727.

It is a super-2 number, since 2×72719000² = 10576105922000000, which contains 22 as substring.

It is a congruent number.

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, 35360 + ... + 37359.

It is an arithmetic number, because the mean of its divisors is an integer number (5317650).

Almost surely, 2^72719000 is an apocalyptic number.

It is an amenable number.

72719000 is an abundant number, since it is smaller than the sum of its proper divisors (97445800).

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

72719000 is a wasteful number, since it uses less digits than its factorization.

72719000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72740 (or 72726 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 26.

The square root of 72719000 is about 8527.5436088008. The cubic root of 72719000 is about 417.3969769823.

The spelling of 72719000 in words is "seventy-two million, seven hundred nineteen thousand".