72866430 has 288 divisors, whose sum is σ = 250967808. Its totient is φ = 14515200.

The previous prime is 72866429. The next prime is 72866459. The reversal of 72866430 is 3466827.

72866430 is a `hidden beast` number, since 7 + 2 + 8 + 6 + 643 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1777210 + ... + 1777250.

It is an arithmetic number, because the mean of its divisors is an integer number (871416).

Almost surely, 2^72866430 is an apocalyptic number.

72866430 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72866430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125483904).

72866430 is an abundant number, since it is smaller than the sum of its proper divisors (178101378).

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

72866430 is a wasteful number, since it uses less digits than its factorization.

72866430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 72866430 is about 8536.1835734712. The cubic root of 72866430 is about 417.6788624897.

The spelling of 72866430 in words is "seventy-two million, eight hundred sixty-six thousand, four hundred thirty".