72064530 has 192 divisors, whose sum is σ = 217676160. Its totient is φ = 16422912.

The previous prime is 72064477. The next prime is 72064571. The reversal of 72064530 is 3546027.

It is a happy number.

72064530 is a `hidden beast` number, since 7 + 206 + 453 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 72064494 and 72064503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1075557 + ... + 1075623.

It is an arithmetic number, because the mean of its divisors is an integer number (1133730).

Almost surely, 2^72064530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72064530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108838080).

72064530 is an abundant number, since it is smaller than the sum of its proper divisors (145611630).

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

72064530 is a wasteful number, since it uses less digits than its factorization.

72064530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 72064530 is about 8489.0829893458. The cubic root of 72064530 is about 416.1410125071.

The spelling of 72064530 in words is "seventy-two million, sixty-four thousand, five hundred thirty".