74934720 has 420 divisors, whose sum is σ = 315330840. Its totient is φ = 16837632.

The previous prime is 74934703. The next prime is 74934733. The reversal of 74934720 is 2743947.

It is a tau number, because it is divible by the number of its divisors (420).

It is a super-2 number, since 2×74934720² = 11230424522956800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1270051 + ... + 1270109.

Almost surely, 2^74934720 is an apocalyptic number.

74934720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157665420).

74934720 is an abundant number, since it is smaller than the sum of its proper divisors (240396120).

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

74934720 is a wasteful number, since it uses less digits than its factorization.

74934720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 74934720 is about 8656.4842748081. The cubic root of 74934720 is about 421.5939431694.

74934720 divided by its product of nonzero digits (42336) gives a triangular number (1770 = T₅₉).

The spelling of 74934720 in words is "seventy-four million, nine hundred thirty-four thousand, seven hundred twenty".