73620768 has 48 divisors (see below), whose sum is σ = 208123776. Its totient is φ = 22652160.

The previous prime is 73620737. The next prime is 73620797. The reversal of 73620768 is 86702637.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28248 + ... + 30743.

It is an arithmetic number, because the mean of its divisors is an integer number (4335912).

Almost surely, 2^73620768 is an apocalyptic number.

73620768 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

73620768 is an abundant number, since it is smaller than the sum of its proper divisors (134503008).

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

73620768 is a wasteful number, since it uses less digits than its factorization.

73620768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59017 (or 59009 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 73620768 is about 8580.2545416788. The cubic root of 73620768 is about 419.1152349832.

The spelling of 73620768 in words is "seventy-three million, six hundred twenty thousand, seven hundred sixty-eight".