72705330 has 64 divisors (see below), whose sum is σ = 195678720. Its totient is φ = 19208448.

The previous prime is 72705329. The next prime is 72705361. The reversal of 72705330 is 3350727.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 72705294 and 72705303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29319 + ... + 31701.

It is an arithmetic number, because the mean of its divisors is an integer number (3057480).

Almost surely, 2^72705330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72705330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97839360).

72705330 is an abundant number, since it is smaller than the sum of its proper divisors (122973390).

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

72705330 is a wasteful number, since it uses less digits than its factorization.

72705330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 72705330 is about 8526.7420507483. The cubic root of 72705330 is about 417.3708207084.

The spelling of 72705330 in words is "seventy-two million, seven hundred five thousand, three hundred thirty".