73007406 has 24 divisors (see below), whose sum is σ = 164042424. Its totient is φ = 24335640.

The previous prime is 73007393. The next prime is 73007411. The reversal of 73007406 is 60470037.

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

It is a self number, because there is not a number n which added to its sum of digits gives 73007406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74625 + ... + 75596.

It is an arithmetic number, because the mean of its divisors is an integer number (6835101).

Almost surely, 2^73007406 is an apocalyptic number.

73007406 is an abundant number, since it is smaller than the sum of its proper divisors (91035018).

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

73007406 is a wasteful number, since it uses less digits than its factorization.

73007406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150238 (or 150226 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 73007406 is about 8544.4371376937. The cubic root of 73007406 is about 417.9480525785.

It can be divided in two parts, 7300 and 7406, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 73007406 in words is "seventy-three million, seven thousand, four hundred six".