72623034 has 64 divisors (see below), whose sum is σ = 177914880. Its totient is φ = 21774960.

The previous prime is 72623011. The next prime is 72623077. The reversal of 72623034 is 43032627.

72623034 is a `hidden beast` number, since 7 + 2 + 623 + 0 + 34 = 666.

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 = 72622989 and 72623007.

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, 60589 + ... + 61775.

It is an arithmetic number, because the mean of its divisors is an integer number (2779920).

Almost surely, 2^72623034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72623034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88957440).

72623034 is an abundant number, since it is smaller than the sum of its proper divisors (105291846).

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

72623034 is a wasteful number, since it uses less digits than its factorization.

72623034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 72623034 is about 8521.9149256490. The cubic root of 72623034 is about 417.2132856427.

It can be divided in two parts, 7262 and 3034, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 72623034 in words is "seventy-two million, six hundred twenty-three thousand, thirty-four".